Solve 8a^{2}bc-12ab^3cd+4b^4c^2d^2

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

Factor

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

Solution Steps

Factor out 4.

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

Consider 2a^{2}bc-3ab^{3}cd+b^{4}c^{2}d^{2}. Factor out bc.

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

Rewrite the complete factored expression.

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

Evaluate

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