Basic Math Examples

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

Step 1

Simplify the denominator.

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Step 1.1

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

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Step 1.1.1

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

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

Step 1.1.2

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

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

Step 1.1.3

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

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

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

Step 1.2

Rewrite $- 1 b$ as $- b$ .

$\frac{a b}{a b (a - b)}$

$\frac{a b}{a b (a - b)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $a$ .

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Step 2.1.1

Cancel the common factor.

$\frac{a b}{a b (a - b)}$

Step 2.1.2

Rewrite the expression.

$\frac{b}{b (a - b)}$

$\frac{b}{b (a - b)}$

Step 2.2

Cancel the common factor of $b$ .

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Step 2.2.1

Cancel the common factor.

$\frac{b}{b (a - b)}$

Step 2.2.2

Rewrite the expression.

$\frac{1}{a - b}$

$\frac{1}{a - b}$

$\frac{1}{a - b}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$