Algebra Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

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

$a b (a) + a b (- 1 b)$

Step 1.3

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

$a b (a - 1 b)$

$a b (a - 1 b)$

Step 2

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

$a b (a - b)$

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