Basic Math Examples

$a^{2} b - a^{2} b^{2} + a b^{3}$

Step 1

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

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Step 1.1

Move $a^{2} b$ .

$- a^{2} b^{2} + a b^{3} + a^{2} b$

Step 1.2

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

$- a b (a b) + a b^{3} + a^{2} b$

Step 1.3

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

$- a b (a b) - a b (- 1 b^{2}) + a^{2} b$

Step 1.4

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

$- a b (a b) - a b (- 1 b^{2}) - a b (- a)$

Step 1.5

Factor $- a b$ out of $- a b (a b) - a b (- 1 b^{2})$ .

$- a b (a b - 1 b^{2}) - a b (- a)$

Step 1.6

Factor $- a b$ out of $- a b (a b - 1 b^{2}) - a b (- a)$ .

$- a b (a b - 1 b^{2} - a)$

Step 2

Rewrite $- 1 b^{2}$ as $- b^{2}$ .

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