Solve 4a-8a^2quad4a

$$4 a - 8 a ^ { 2 } \quad 4 a$$

Evaluate

$$4a-32a^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$4a-8a^{3}\times 4$$

Multiply 8 and 4 to get 32.

$$4a-32a^{3}$$

Factor

$$4a\left(1-8a^{2}\right)$$

Solution Steps

Factor out 4.

$$4\left(a-8a^{2}a\right)$$

Consider a-8a^{3}. Factor out a.

$$a\left(1-8a^{2}\right)$$

Rewrite the complete factored expression. Polynomial 1-8a^{2} is not factored since it does not have any rational roots.

$$4a\left(1-8a^{2}\right)$$