Basic Math Examples

$15 a^{2} b - 25 a^{3} b^{2} + 5 a^{2} b^{3}$

Step 1

Factor $- 5 a^{2} b$ out of $15 a^{2} b - 25 a^{3} b^{2} + 5 a^{2} b^{3}$ .

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Step 1.1

Move $15 a^{2} b$ .

$- 25 a^{3} b^{2} + 5 a^{2} b^{3} + 15 a^{2} b$

Step 1.2

Factor $- 5 a^{2} b$ out of $- 25 a^{3} b^{2}$ .

$- 5 a^{2} b (5 a b) + 5 a^{2} b^{3} + 15 a^{2} b$

Step 1.3

Factor $- 5 a^{2} b$ out of $5 a^{2} b^{3}$ .

$- 5 a^{2} b (5 a b) - 5 a^{2} b (- 1 b^{2}) + 15 a^{2} b$

Step 1.4

Factor $- 5 a^{2} b$ out of $15 a^{2} b$ .

$- 5 a^{2} b (5 a b) - 5 a^{2} b (- 1 b^{2}) - 5 a^{2} b (- 3)$

Step 1.5

Factor $- 5 a^{2} b$ out of $- 5 a^{2} b (5 a b) - 5 a^{2} b (- 1 b^{2})$ .

$- 5 a^{2} b (5 a b - 1 b^{2}) - 5 a^{2} b (- 3)$

Step 1.6

Factor $- 5 a^{2} b$ out of $- 5 a^{2} b (5 a b - 1 b^{2}) - 5 a^{2} b (- 3)$ .

$- 5 a^{2} b (5 a b - 1 b^{2} - 3)$

Step 2

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

$- 5 a^{2} b (5 a b - b^{2} - 3)$