Solve 8a^3b-2a^2b^2-12ab^3/1

$$\frac { 8 a ^ { 3 } b - 2 a ^ { 2 } b ^ { 2 } - 12 a b ^ { 3 } } { 1 }$$

Factor

$$2ab\left(4a^{2}-ab-6b^{2}\right)$$

Solution Steps

Factor out 2.

$$2\left(4a^{3}b-a^{2}b^{2}-6ab^{3}\right)$$

Consider 4a^{3}b-a^{2}b^{2}-6ab^{3}. Factor out ab.

$$ab\left(4a^{2}-ab-6b^{2}\right)$$

Rewrite the complete factored expression.

$$2ab\left(4a^{2}-ab-6b^{2}\right)$$

Evaluate

$$2ab\left(4a^{2}-ab-6b^{2}\right)$$