Find the Degree f(x)=(x+1)^4(x-3)^5(x-2)

$f (x) = {(x + 1)}^{4} {(x - 3)}^{5} (x - 2)$

Simplify and reorder the polynomial.

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Use the Binomial Theorem.

$(x^{4} + 4 x^{3} \cdot 1 + 6 x^{2} \cdot 1^{2} + 4 x \cdot 1^{3} + 1^{4}) {(x - 3)}^{5} (x - 2)$

Simplify each term.

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Multiply $4$ by $1$ .

$(x^{4} + 4 x^{3} + 6 x^{2} \cdot 1^{2} + 4 x \cdot 1^{3} + 1^{4}) {(x - 3)}^{5} (x - 2)$

One to any power is one.

$(x^{4} + 4 x^{3} + 6 x^{2} \cdot 1 + 4 x \cdot 1^{3} + 1^{4}) {(x - 3)}^{5} (x - 2)$

Multiply $6$ by $1$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x \cdot 1^{3} + 1^{4}) {(x - 3)}^{5} (x - 2)$

One to any power is one.

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x \cdot 1 + 1^{4}) {(x - 3)}^{5} (x - 2)$

Multiply $4$ by $1$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1^{4}) {(x - 3)}^{5} (x - 2)$

One to any power is one.

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) {(x - 3)}^{5} (x - 2)$

Use the Binomial Theorem.

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} + 5 x^{4} \cdot - 3 + 10 x^{3} {(- 3)}^{2} + 10 x^{2} {(- 3)}^{3} + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Simplify each term.

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Multiply $- 3$ by $5$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 10 x^{3} {(- 3)}^{2} + 10 x^{2} {(- 3)}^{3} + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Raise $- 3$ to the power of $2$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 10 x^{3} \cdot 9 + 10 x^{2} {(- 3)}^{3} + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Multiply $9$ by $10$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} + 10 x^{2} {(- 3)}^{3} + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Raise $- 3$ to the power of $3$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} + 10 x^{2} \cdot - 27 + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Multiply $- 27$ by $10$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 5 x {(- 3)}^{4} + {(- 3)}^{5}) (x - 2)$

Raise $- 3$ to the power of $4$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 5 x \cdot 81 + {(- 3)}^{5}) (x - 2)$

Multiply $81$ by $5$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x + {(- 3)}^{5}) (x - 2)$

Raise $- 3$ to the power of $5$ .

$(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Expand $(x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 1) (x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243)$ by multiplying each term in the first expression by each term in the second expression.

$(x^{4} x^{5} + x^{4} (- 15 x^{4}) + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Simplify terms.

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Simplify each term.

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Multiply $x^{4}$ by $x^{5}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{4 + 5} + x^{4} (- 15 x^{4}) + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $4$ and $5$ .

$(x^{9} + x^{4} (- 15 x^{4}) + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{4} x^{4} + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{4}$ by $x^{4}$ by adding the exponents.

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Move $x^{4}$ .

$(x^{9} - 15 (x^{4} x^{4}) + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{4 + 4} + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $4$ and $4$ .

$(x^{9} - 15 x^{8} + x^{4} (90 x^{3}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{4} x^{3} + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

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Move $x^{3}$ .

$(x^{9} - 15 x^{8} + 90 (x^{3} x^{4}) + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{3 + 4} + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $3$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} + x^{4} (- 270 x^{2}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{4} x^{2} + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{4}$ by $x^{2}$ by adding the exponents.

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Move $x^{2}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 (x^{2} x^{4}) + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{2 + 4} + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $2$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + x^{4} (405 x) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{4} x + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{4}$ by $x$ by adding the exponents.

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Move $x$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 (x \cdot x^{4}) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x^{4}$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 (x^{1} x^{4}) + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{1 + 4} + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $1$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} + x^{4} \cdot - 243 + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Move $- 243$ to the left of $x^{4}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 \cdot x^{4} + 4 x^{3} x^{5} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{3}$ by $x^{5}$ by adding the exponents.

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Move $x^{5}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 (x^{5} x^{3}) + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{5 + 3} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $5$ and $3$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} + 4 x^{3} (- 15 x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} + 4 \cdot - 15 (x^{3} x^{4}) + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{3}$ by $x^{4}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} + 4 \cdot - 15 x^{3 + 4} + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $3$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} + 4 \cdot - 15 x^{7} + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $- 15$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 4 x^{3} (90 x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 4 \cdot 90 (x^{3} x^{3}) + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{3}$ by $x^{3}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 4 \cdot 90 x^{3 + 3} + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $3$ and $3$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 4 \cdot 90 x^{6} + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $90$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} + 4 x^{3} (- 270 x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} + 4 \cdot - 270 (x^{3} x^{2}) + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} + 4 \cdot - 270 x^{3 + 2} + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $3$ and $2$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} + 4 \cdot - 270 x^{5} + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $- 270$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 4 x^{3} (405 x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 4 \cdot 405 (x^{3} x) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{3}$ by $x$ by adding the exponents.

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Multiply $x^{3}$ by $x$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 4 \cdot 405 (x^{3} x^{1}) + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 4 \cdot 405 x^{3 + 1} + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $3$ and $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 4 \cdot 405 x^{4} + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $405$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} + 4 x^{3} \cdot - 243 + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $- 243$ by $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{2} x^{5} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{2}$ by $x^{5}$ by adding the exponents.

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Move $x^{5}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 (x^{5} x^{2}) + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{5 + 2} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $5$ and $2$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} + 6 x^{2} (- 15 x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} + 6 \cdot - 15 (x^{2} x^{4}) + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{2}$ by $x^{4}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} + 6 \cdot - 15 x^{2 + 4} + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $2$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} + 6 \cdot - 15 x^{6} + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $6$ by $- 15$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 6 x^{2} (90 x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 6 \cdot 90 (x^{2} x^{3}) + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{2}$ by $x^{3}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 6 \cdot 90 x^{2 + 3} + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $2$ and $3$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 6 \cdot 90 x^{5} + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $6$ by $90$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 6 x^{2} (- 270 x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 6 \cdot - 270 (x^{2} x^{2}) + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{2}$ by $x^{2}$ by adding the exponents.

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Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 6 \cdot - 270 x^{2 + 2} + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $2$ and $2$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 6 \cdot - 270 x^{4} + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $6$ by $- 270$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 6 x^{2} (405 x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 6 \cdot 405 (x^{2} x) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{2}$ by $x$ by adding the exponents.

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Multiply $x^{2}$ by $x$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 6 \cdot 405 (x^{2} x^{1}) + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 6 \cdot 405 x^{2 + 1} + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $2$ and $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 6 \cdot 405 x^{3} + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $6$ by $405$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} + 6 x^{2} \cdot - 243 + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $- 243$ by $6$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x \cdot x^{5} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x^{5}$ by adding the exponents.

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Move $x^{5}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 (x^{5} x) + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{5}$ by $x$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 (x^{5} x^{1}) + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{5 + 1} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $5$ and $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 4 x (- 15 x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 4 \cdot - 15 (x \cdot x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x^{4}$ by adding the exponents.

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Multiply $x$ by $x^{4}$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 4 \cdot - 15 (x^{1} x^{4}) + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 4 \cdot - 15 x^{1 + 4} + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $1$ and $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 4 \cdot - 15 x^{5} + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $- 15$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 4 x (90 x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 4 \cdot 90 (x \cdot x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x^{3}$ by adding the exponents.

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Multiply $x$ by $x^{3}$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 4 \cdot 90 (x^{1} x^{3}) + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 4 \cdot 90 x^{1 + 3} + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $1$ and $3$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 4 \cdot 90 x^{4} + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $90$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} + 4 x (- 270 x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Rewrite using the commutative property of multiplication.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} + 4 \cdot - 270 (x \cdot x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x^{2}$ by adding the exponents.

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Multiply $x$ by $x^{2}$ .

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Raise $x$ to the power of $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} + 4 \cdot - 270 (x^{1} x^{2}) + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} + 4 \cdot - 270 x^{1 + 2} + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Add $1$ and $2$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} + 4 \cdot - 270 x^{3} + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $- 270$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 4 x (405 x) + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x$ by $x$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 4 \cdot 405 x^{2} + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $4$ by $405$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} + 4 x \cdot - 243 + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $- 243$ by $4$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + 1 x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $x^{5}$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} + 1 (- 15 x^{4}) + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $- 15 x^{4}$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 1 (90 x^{3}) + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $90 x^{3}$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} + 1 (- 270 x^{2}) + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $- 270 x^{2}$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 1 (405 x) + 1 \cdot - 243) (x - 2)$

Multiply $405 x$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x + 1 \cdot - 243) (x - 2)$

Multiply $- 243$ by $1$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Simplify by adding terms.

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Combine the opposite terms in $x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} + 1620 x^{4} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} - 1620 x^{4} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243$ .

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Subtract $1620 x^{4}$ from $1620 x^{4}$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 0 + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5}$ and $0$ .

$(x^{9} - 15 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 4 x^{8} - 60 x^{7} + 360 x^{6} - 1080 x^{5} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 15 x^{8}$ and $4 x^{8}$ .

$(x^{9} - 11 x^{8} + 90 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} - 60 x^{7} + 360 x^{6} - 1080 x^{5} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $60 x^{7}$ from $90 x^{7}$ .

$(x^{9} - 11 x^{8} + 30 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 360 x^{6} - 1080 x^{5} - 972 x^{3} + 6 x^{7} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $30 x^{7}$ and $6 x^{7}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 270 x^{6} + 405 x^{5} - 243 x^{4} + 360 x^{6} - 1080 x^{5} - 972 x^{3} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 270 x^{6}$ and $360 x^{6}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} + 90 x^{6} + 405 x^{5} - 243 x^{4} - 1080 x^{5} - 972 x^{3} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Combine the opposite terms in $x^{9} - 11 x^{8} + 36 x^{7} + 90 x^{6} + 405 x^{5} - 243 x^{4} - 1080 x^{5} - 972 x^{3} - 90 x^{6} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243$ .

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Subtract $90 x^{6}$ from $90 x^{6}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} + 405 x^{5} - 243 x^{4} - 1080 x^{5} - 972 x^{3} + 0 + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $x^{9} - 11 x^{8} + 36 x^{7} + 405 x^{5} - 243 x^{4} - 1080 x^{5} - 972 x^{3}$ and $0$ .

$(x^{9} - 11 x^{8} + 36 x^{7} + 405 x^{5} - 243 x^{4} - 1080 x^{5} - 972 x^{3} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $1080 x^{5}$ from $405 x^{5}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 675 x^{5} - 243 x^{4} - 972 x^{3} + 540 x^{5} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 675 x^{5}$ and $540 x^{5}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 135 x^{5} - 243 x^{4} - 972 x^{3} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 60 x^{5} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $60 x^{5}$ from $- 135 x^{5}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 195 x^{5} - 243 x^{4} - 972 x^{3} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x + x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 195 x^{5}$ and $x^{5}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} - 243 x^{4} - 972 x^{3} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} + 360 x^{4} - 1080 x^{3} + 1620 x^{2} - 972 x - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 243 x^{4}$ and $360 x^{4}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 117 x^{4} - 972 x^{3} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 1080 x^{3} + 1620 x^{2} - 972 x - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $15 x^{4}$ from $117 x^{4}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} - 972 x^{3} + 2430 x^{3} - 1458 x^{2} + 4 x^{6} - 1080 x^{3} + 1620 x^{2} - 972 x + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 972 x^{3}$ and $2430 x^{3}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 1458 x^{3} - 1458 x^{2} + 4 x^{6} - 1080 x^{3} + 1620 x^{2} - 972 x + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $1080 x^{3}$ from $1458 x^{3}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 378 x^{3} - 1458 x^{2} + 4 x^{6} + 1620 x^{2} - 972 x + 90 x^{3} - 270 x^{2} + 405 x - 243) (x - 2)$

Add $378 x^{3}$ and $90 x^{3}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 468 x^{3} - 1458 x^{2} + 4 x^{6} + 1620 x^{2} - 972 x - 270 x^{2} + 405 x - 243) (x - 2)$

Add $- 1458 x^{2}$ and $1620 x^{2}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 468 x^{3} + 4 x^{6} + 162 x^{2} - 972 x - 270 x^{2} + 405 x - 243) (x - 2)$

Subtract $270 x^{2}$ from $162 x^{2}$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 468 x^{3} + 4 x^{6} - 108 x^{2} - 972 x + 405 x - 243) (x - 2)$

Add $- 972 x$ and $405 x$ .

$(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 468 x^{3} + 4 x^{6} - 108 x^{2} - 567 x - 243) (x - 2)$

Expand $(x^{9} - 11 x^{8} + 36 x^{7} - 194 x^{5} + 102 x^{4} + 468 x^{3} + 4 x^{6} - 108 x^{2} - 567 x - 243) (x - 2)$ by multiplying each term in the first expression by each term in the second expression.

$x^{9} x + x^{9} \cdot - 2 - 11 x^{8} x - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Simplify terms.

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Simplify each term.

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Multiply $x^{9}$ by $x$ by adding the exponents.

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Multiply $x^{9}$ by $x$ .

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Raise $x$ to the power of $1$ .

$x^{9} x^{1} + x^{9} \cdot - 2 - 11 x^{8} x - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{9 + 1} + x^{9} \cdot - 2 - 11 x^{8} x - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $9$ and $1$ .

$x^{10} + x^{9} \cdot - 2 - 11 x^{8} x - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Move $- 2$ to the left of $x^{9}$ .

$x^{10} - 2 \cdot x^{9} - 11 x^{8} x - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{8}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 (x \cdot x^{8}) - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{8}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 (x^{1} x^{8}) - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{1 + 8} - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $8$ .

$x^{10} - 2 x^{9} - 11 x^{9} - 11 x^{8} \cdot - 2 + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $- 11$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{7} x + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{7}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 (x \cdot x^{7}) + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{7}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 (x^{1} x^{7}) + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{1 + 7} + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $7$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} + 36 x^{7} \cdot - 2 - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $36$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{5} x - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{5}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 (x \cdot x^{5}) - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{5}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 (x^{1} x^{5}) - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{1 + 5} - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $5$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} - 194 x^{5} \cdot - 2 + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $- 194$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{4} x + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{4}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 (x \cdot x^{4}) + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{4}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 (x^{1} x^{4}) + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{1 + 4} + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $4$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} + 102 x^{4} \cdot - 2 + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $102$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{3} x + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{3}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 (x \cdot x^{3}) + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{3}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 (x^{1} x^{3}) + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{1 + 3} + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $3$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} + 468 x^{3} \cdot - 2 + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $468$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{6} x + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{6}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 (x \cdot x^{6}) + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{6}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 (x^{1} x^{6}) + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{1 + 6} + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $6$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} + 4 x^{6} \cdot - 2 - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $4$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{2} x - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x^{2}$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 (x \cdot x^{2}) - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x^{2}$ .

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Raise $x$ to the power of $1$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 (x^{1} x^{2}) - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{1 + 2} - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Add $1$ and $2$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} - 108 x^{2} \cdot - 2 - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $- 108$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x \cdot x - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x$ by adding the exponents.

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Move $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 (x \cdot x) - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $x$ by $x$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x^{2} - 567 x \cdot - 2 - 243 x - 243 \cdot - 2$

Multiply $- 2$ by $- 567$ .

$x^{10} - 2 x^{9} - 11 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x - 243 \cdot - 2$

Multiply $- 243$ by $- 2$ .

Simplify by adding terms.

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Subtract $11 x^{9}$ from $- 2 x^{9}$ .

$x^{10} - 13 x^{9} + 22 x^{8} + 36 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Add $22 x^{8}$ and $36 x^{8}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 72 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} + 4 x^{7} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Add $- 72 x^{7}$ and $4 x^{7}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 194 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} - 8 x^{6} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Subtract $8 x^{6}$ from $- 194 x^{6}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 388 x^{5} + 102 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Add $388 x^{5}$ and $102 x^{5}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 490 x^{5} - 204 x^{4} + 468 x^{4} - 936 x^{3} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Add $- 204 x^{4}$ and $468 x^{4}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 490 x^{5} + 264 x^{4} - 936 x^{3} - 108 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Subtract $108 x^{3}$ from $- 936 x^{3}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 490 x^{5} + 264 x^{4} - 1044 x^{3} + 216 x^{2} - 567 x^{2} + 1134 x - 243 x + 486$

Subtract $567 x^{2}$ from $216 x^{2}$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 490 x^{5} + 264 x^{4} - 1044 x^{3} - 351 x^{2} + 1134 x - 243 x + 486$

Subtract $243 x$ from $1134 x$ .

$x^{10} - 13 x^{9} + 58 x^{8} - 68 x^{7} - 202 x^{6} + 490 x^{5} + 264 x^{4} - 1044 x^{3} - 351 x^{2} + 891 x + 486$

The largest exponent is the degree of the polynomial.

$10$

Find the Degree f(x)=(x+1)^4(x-3)^5(x-2)

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Create a High Performed UI/UX Design from a Silicon Valley.

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App from the store