Simplify (32a^3b^2)/(8ab^2)

$\frac{32 a^{3} b^{2}}{8 a b^{2}}$

Step 1

Cancel the common factor of $32$ and $8$ .

Factor $8$ out of $32 a^{3} b^{2}$ .

$\frac{8 (4 a^{3} b^{2})}{8 a b^{2}}$

Cancel the common factors.

Factor $8$ out of $8 a b^{2}$ .

$\frac{8 (4 a^{3} b^{2})}{8 (a b^{2})}$

Cancel the common factor.

$\frac{8 (4 a^{3} b^{2})}{8 (a b^{2})}$

Rewrite the expression.

$\frac{4 a^{3} b^{2}}{a b^{2}}$

$\frac{4 a^{3} b^{2}}{a b^{2}}$

$\frac{4 a^{3} b^{2}}{a b^{2}}$

Step 2

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

Factor $a$ out of $4 a^{3} b^{2}$ .

$\frac{a (4 a^{2} b^{2})}{a b^{2}}$

Cancel the common factors.

Factor $a$ out of $a b^{2}$ .

$\frac{a (4 a^{2} b^{2})}{a (b^{2})}$

Cancel the common factor.

$\frac{a (4 a^{2} b^{2})}{a b^{2}}$

Rewrite the expression.

$\frac{4 a^{2} b^{2}}{b^{2}}$

$\frac{4 a^{2} b^{2}}{b^{2}}$

$\frac{4 a^{2} b^{2}}{b^{2}}$

Step 3

Cancel the common factor of $b^{2}$ .

Cancel the common factor.

$\frac{4 a^{2} b^{2}}{b^{2}}$

Divide $4 a^{2}$ by $1$ .

$4 a^{2}$

$4 a^{2}$

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