Simplify 2x^2(4x^2+9x-13)

$2 x^{2} (4 x^{2} + 9 x - 13)$

Apply the distributive property.

$2 x^{2} (4 x^{2}) + 2 x^{2} (9 x) + 2 x^{2} \cdot - 13$

Simplify.

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Rewrite using the commutative property of multiplication.

$2 \cdot 4 (x^{2} x^{2}) + 2 x^{2} (9 x) + 2 x^{2} \cdot - 13$

Rewrite using the commutative property of multiplication.

$2 \cdot 4 (x^{2} x^{2}) + 2 \cdot 9 (x^{2} x) + 2 x^{2} \cdot - 13$

Multiply $- 13$ by $2$ .

$2 \cdot 4 (x^{2} x^{2}) + 2 \cdot 9 (x^{2} x) - 26 x^{2}$

Simplify each term.

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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.

$2 \cdot 4 x^{2 + 2} + 2 \cdot 9 (x^{2} x) - 26 x^{2}$

Add $2$ and $2$ .

$2 \cdot 4 x^{4} + 2 \cdot 9 (x^{2} x) - 26 x^{2}$

Multiply $2$ by $4$ .

$8 x^{4} + 2 \cdot 9 (x^{2} x) - 26 x^{2}$

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 $1$ .

$8 x^{4} + 2 \cdot 9 (x^{2} x^{1}) - 26 x^{2}$

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

$8 x^{4} + 2 \cdot 9 x^{2 + 1} - 26 x^{2}$

Add $2$ and $1$ .

$8 x^{4} + 2 \cdot 9 x^{3} - 26 x^{2}$

Multiply $2$ by $9$ .

$8 x^{4} + 18 x^{3} - 26 x^{2}$

Simplify 2x^2(4x^2+9x-13)

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