Factor -3a^2b+6a^3b^2

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

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

Reorder $- 3 a^{2} b$ and $6 a^{3} b^{2}$ .

$6 a^{3} b^{2} - 3 a^{2} b$

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

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

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

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

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

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

Factor.

Factor $- 1$ out of $- 2 a b + 1$ .

Factor $- 1$ out of $- 2 a b$ .

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

Rewrite $1$ as $- 1 (- 1)$ .

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

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

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

Remove unnecessary parentheses.

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

Combine exponents.

Factor out negative.

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

Multiply $- 3$ by $- 1$ .

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

Remove unnecessary parentheses.

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