Question

Factorize each of the following expression:
2a⁵ − 32a

Answer 1

$$\begin{gathered} 2a^5-32a \\ =2a(a^4-16) \\ =2a\left[\right(a^2{)}^2-4^2] \\ =2a(a^2+4\left)\right(a^2-4) \\ =2a(a^2+4\left)\right(a^2-2^2) \\ =2a(a^2+4\left)\right(a+2\left)\right(a-2) \\ =2a(a-2\left)\right(a+2\left)\right(a^2+4) \end{gathered}$$