Solve 5ab-8a^7b+ab/4-a^2b=

$$5 a b - 8 a ^ { 7 } b + \frac { a b } { 4 } - a ^ { 2 } b =$$

Factor

$$\frac{ab\left(21-4a-32a^{6}\right)}{4}$$

Solution Steps

Factor out \frac{1}{4}.

$$\frac{20ab-32a^{7}b+ab-4a^{2}b}{4}$$

Consider 20ab-32a^{7}b+ab-4a^{2}b. Factor out ab.

$$ab\left(21-4a-32a^{6}\right)$$

Rewrite the complete factored expression. Polynomial -32a^{6}-4a+21 is not factored since it does not have any rational roots.

$$\frac{ab\left(-32a^{6}-4a+21\right)}{4}$$

Evaluate

$$\frac{ab\left(21-4a-32a^{6}\right)}{4}$$