Solve 3a^{3}b^{2}+9a^2b^3-12a^2b^2

$$3 a ^ { 3 } b ^ { 2 } + 9 a ^ { 2 } b ^ { 3 } - 12 a ^ { 2 } b ^ { 2 }$$

Factor

$$3\left(a+3b-4\right)a^{2}b^{2}$$

Solution Steps

Factor out 3.

$$3\left(a^{3}b^{2}+3a^{2}b^{3}-4a^{2}b^{2}\right)$$

Consider a^{3}b^{2}+3a^{2}b^{3}-4a^{2}b^{2}. Factor out a^{2}b^{2}.

$$a^{2}b^{2}\left(a+3b-4\right)$$

Rewrite the complete factored expression.

$$3a^{2}b^{2}\left(a+3b-4\right)$$

Evaluate

$$3\left(a+3b-4\right)\left(ab\right)^{2}$$