Divide (8p^9+6p^6)/(2p)

$\frac{8 p^{9} + 6 p^{6}}{2 p}$

Factor $2 p^{6}$ out of $8 p^{9} + 6 p^{6}$ .

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Factor $2 p^{6}$ out of $8 p^{9}$ .

$\frac{2 p^{6} (4 p^{3}) + 6 p^{6}}{2 p}$

Factor $2 p^{6}$ out of $6 p^{6}$ .

$\frac{2 p^{6} (4 p^{3}) + 2 p^{6} (3)}{2 p}$

Factor $2 p^{6}$ out of $2 p^{6} (4 p^{3}) + 2 p^{6} (3)$ .

$\frac{2 p^{6} (4 p^{3} + 3)}{2 p}$

Cancel the common factor of $2$ .

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Cancel the common factor.

$\frac{2 p^{6} (4 p^{3} + 3)}{2 p}$

Rewrite the expression.

$\frac{p^{6} (4 p^{3} + 3)}{p}$

Cancel the common factor of $p^{6}$ and $p$ .

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Factor $p$ out of $p^{6} (4 p^{3} + 3)$ .

$\frac{p (p^{5} (4 p^{3} + 3))}{p}$

Cancel the common factors.

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

$\frac{p (p^{5} (4 p^{3} + 3))}{p^{1}}$

Factor $p$ out of $p^{1}$ .

$\frac{p (p^{5} (4 p^{3} + 3))}{p \cdot 1}$

Cancel the common factor.

$\frac{p (p^{5} (4 p^{3} + 3))}{p \cdot 1}$

Rewrite the expression.

$\frac{p^{5} (4 p^{3} + 3)}{1}$

Divide $p^{5} (4 p^{3} + 3)$ by $1$ .

$p^{5} (4 p^{3} + 3)$

Apply the distributive property.

$p^{5} (4 p^{3}) + p^{5} \cdot 3$

Rewrite using the commutative property of multiplication.

$4 p^{5} p^{3} + p^{5} \cdot 3$

Move $3$ to the left of $p^{5}$ .

$4 p^{5} p^{3} + 3 \cdot p^{5}$

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

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Move $p^{3}$ .

$4 (p^{3} p^{5}) + 3 \cdot p^{5}$

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

$4 p^{3 + 5} + 3 \cdot p^{5}$

Add $3$ and $5$ .

$4 p^{8} + 3 \cdot p^{5}$

$4 p^{8} + 3 p^{5}$

Divide (8p^9+6p^6)/(2p)

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