Simplify (-27a^3b^2)/(3ab)

$\frac{- 27 a^{3} b^{2}}{3 a b}$

Step 1

Cancel the common factor of $- 27$ and $3$ .

Factor $3$ out of $- 27 a^{3} b^{2}$ .

$\frac{3 (- 9 a^{3} b^{2})}{3 a b}$

Cancel the common factors.

Factor $3$ out of $3 a b$ .

$\frac{3 (- 9 a^{3} b^{2})}{3 (a b)}$

Cancel the common factor.

$\frac{3 (- 9 a^{3} b^{2})}{3 (a b)}$

Rewrite the expression.

$\frac{- 9 a^{3} b^{2}}{a b}$

$\frac{- 9 a^{3} b^{2}}{a b}$

$\frac{- 9 a^{3} b^{2}}{a b}$

Step 2

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

Factor $a$ out of $- 9 a^{3} b^{2}$ .

$\frac{a (- 9 a^{2} b^{2})}{a b}$

Cancel the common factors.

Factor $a$ out of $a b$ .

$\frac{a (- 9 a^{2} b^{2})}{a (b)}$

Cancel the common factor.

$\frac{a (- 9 a^{2} b^{2})}{a b}$

Rewrite the expression.

$\frac{- 9 a^{2} b^{2}}{b}$

$\frac{- 9 a^{2} b^{2}}{b}$

$\frac{- 9 a^{2} b^{2}}{b}$

Step 3

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

Factor $b$ out of $- 9 a^{2} b^{2}$ .

$\frac{b (- 9 a^{2} b)}{b}$

Cancel the common factors.

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

$\frac{b (- 9 a^{2} b)}{b^{1}}$

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

$\frac{b (- 9 a^{2} b)}{b \cdot 1}$

Cancel the common factor.

$\frac{b (- 9 a^{2} b)}{b \cdot 1}$

Rewrite the expression.

$\frac{- 9 a^{2} b}{1}$

Divide $- 9 a^{2} b$ by $1$ .

$- 9 a^{2} b$

$- 9 a^{2} b$

$- 9 a^{2} b$

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