Solve -8a^{3}b^4+6a^2b^4-12a^2bc

$$- 8 a ^ { 3 } b ^ { 4 } + 6 a ^ { 2 } b ^ { 4 } - 12 a ^ { 2 } b c$$

Factor

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

Solution Steps

Factor out 2.

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

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

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

Rewrite the complete factored expression.

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

Evaluate

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