Factorize each of the following expression:
Question:

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

Solution:

$2 a^{5}-32 a$

$=2 a\left(a^{4}-16\right)$

$=2 a\left[\left(a^{2}\right)^{2}-4^{2}\right]$

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

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

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

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