Question:
Factorize each of the following expression:
2a5 − 32a
Solution:
$2 a^{5}-32 a$
$=2 a\left(a^{4}-16\right)$
$=2 a\left[\left(a^{2}\right)^{2}-4^{2}\right]$
$=2 a\left(a^{2}+4\right)\left(a^{2}-4\right)$
$=2 a\left(a^{2}+4\right)\left(a^{2}-2^{2}\right)$
$=2 a\left(a^{2}+4\right)(a+2)(a-2)$
$=2 a(a-2)(a+2)\left(a^{2}+4\right)$
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