Basic Math Examples

$12 a^{2} b - 18 a b^{2} - 30 a b^{3}$

Step 1

Reorder the expression.

Tap for more steps...

Step 1.1

Move $- 18 a b^{2}$ .

$12 a^{2} b - 30 a b^{3} - 18 a b^{2}$

Step 1.2

Reorder $12 a^{2} b$ and $- 30 a b^{3}$ .

$- 30 a b^{3} + 12 a^{2} b - 18 a b^{2}$

Step 2

Factor $- 6 a b$ out of $- 30 a b^{3}$ .

$- 6 a b (5 b^{2}) + 12 a^{2} b - 18 a b^{2}$

Step 3

Factor $- 6 a b$ out of $12 a^{2} b$ .

$- 6 a b (5 b^{2}) - 6 a b (- 2 a) - 18 a b^{2}$

Step 4

Factor $- 6 a b$ out of $- 18 a b^{2}$ .

$- 6 a b (5 b^{2}) - 6 a b (- 2 a) - 6 a b (3 b)$

Step 5

Factor $- 6 a b$ out of $- 6 a b (5 b^{2}) - 6 a b (- 2 a)$ .

$- 6 a b (5 b^{2} - 2 a) - 6 a b (3 b)$

Step 6

Factor $- 6 a b$ out of $- 6 a b (5 b^{2} - 2 a) - 6 a b (3 b)$ .

$- 6 a b (5 b^{2} - 2 a + 3 b)$