Basic Math Examples

$3 a^{2} b^{2} - 6 a^{3} b^{4} + 9 a^{2} b^{3}$

Step 1

Move $3 a^{2} b^{2}$ .

$- 6 a^{3} b^{4} + 9 a^{2} b^{3} + 3 a^{2} b^{2}$

Step 2

Factor $- 3 a^{2} b^{2}$ out of $- 6 a^{3} b^{4}$ .

$- 3 a^{2} b^{2} (2 a b^{2}) + 9 a^{2} b^{3} + 3 a^{2} b^{2}$

Step 3

Factor $- 3 a^{2} b^{2}$ out of $9 a^{2} b^{3}$ .

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

Step 4

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

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

Step 5

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

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

Step 6

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

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