Divide (8p^6+12p^9)/(2p^3)

$\frac{8 p^{6} + 12 p^{9}}{2 p^{3}}$

Factor $4 p^{6}$ out of $8 p^{6} + 12 p^{9}$ .

Factor $4 p^{6}$ out of $8 p^{6}$ .

$\frac{4 p^{6} (2) + 12 p^{9}}{2 p^{3}}$

Factor $4 p^{6}$ out of $12 p^{9}$ .

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

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

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

Cancel the common factor of $4$ and $2$ .

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

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

Cancel the common factors.

Factor $2$ out of $2 p^{3}$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $p^{6}$ and $p^{3}$ .

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

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

Cancel the common factors.

Multiply by $1$ .

$\frac{p^{3} (2 p^{3} (2 + 3 p^{3}))}{p^{3} \cdot 1}$

Cancel the common factor.

$\frac{p^{3} (2 p^{3} (2 + 3 p^{3}))}{p^{3} \cdot 1}$

Rewrite the expression.

$\frac{2 p^{3} (2 + 3 p^{3})}{1}$

Divide $2 p^{3} (2 + 3 p^{3})$ by $1$ .

$2 p^{3} (2 + 3 p^{3})$

Apply the distributive property.

$2 p^{3} \cdot 2 + 2 p^{3} (3 p^{3})$

Multiply $2$ by $2$ .

$4 p^{3} + 2 p^{3} (3 p^{3})$

Rewrite using the commutative property of multiplication.

$4 p^{3} + 2 \cdot 3 p^{3} p^{3}$

Simplify each term.

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

Move $p^{3}$ .

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

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

$4 p^{3} + 2 \cdot 3 p^{3 + 3}$

Add $3$ and $3$ .

$4 p^{3} + 2 \cdot 3 p^{6}$

Multiply $2$ by $3$ .

$4 p^{3} + 6 p^{6}$

Divide (8p^6+12p^9)/(2p^3)

Related Questions

Support LCMGCF.com by disabling your adblocker.