Pre-Algebra Examples

$\frac{18 a^{2} b^{2} - 81 a^{2} b - 9 a b}{9 a b}$

Step 1

Factor $9 a b$ out of $18 a^{2} b^{2} - 81 a^{2} b - 9 a b$ .

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Step 1.1

Factor $9 a b$ out of $18 a^{2} b^{2}$ .

$\frac{9 a b (2 a b) - 81 a^{2} b - 9 a b}{9 a b}$

Step 1.2

Factor $9 a b$ out of $- 81 a^{2} b$ .

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

Step 1.3

Factor $9 a b$ out of $- 9 a b$ .

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

Step 1.4

Factor $9 a b$ out of $9 a b (2 a b) + 9 a b (- 9 a)$ .

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

Step 1.5

Factor $9 a b$ out of $9 a b (2 a b - 9 a) + 9 a b (- 1)$ .

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

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Cancel the common factor.

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

Step 3.2

Rewrite the expression.

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

Step 4

Cancel the common factor of $b$ .

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Step 4.1

Cancel the common factor.

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

Step 4.2

Divide $2 a b - 9 a - 1$ by $1$ .

$2 a b - 9 a - 1$