Solve 16a^{4}b^{5}-20a^3b^2+24a^2b^6

$$16 a ^ { 4 } b ^ { 5 } - 20 a ^ { 3 } b ^ { 2 } + 24 a ^ { 2 } b ^ { 6 }$$

Factor

$$4a^{2}b^{2}\left(4a^{2}b^{3}-5a+6b^{4}\right)$$

Solution Steps

Factor out 4.

$$4\left(4a^{4}b^{5}-5a^{3}b^{2}+6a^{2}b^{6}\right)$$

Consider 4a^{4}b^{5}-5a^{3}b^{2}+6a^{2}b^{6}. Factor out a^{2}b^{2}.

$$a^{2}b^{2}\left(4a^{2}b^{3}-5a+6b^{4}\right)$$

Rewrite the complete factored expression.

$$4a^{2}b^{2}\left(4a^{2}b^{3}-5a+6b^{4}\right)$$

Evaluate

$$4\left(4a^{2}b^{3}-5a+6b^{4}\right)\left(ab\right)^{2}$$