Question:
Factorize each of the following expression:
a4b4 − 16c4
Solution:
$a^{4} b^{4}-16 c^{4}$
$=\left[\left(a^{2} b^{2}\right)^{2}-\left(4 c^{2}\right)^{2}\right]$
$=\left(a^{2} b^{2}+4 c^{2}\right)\left(a^{2} b^{2}-4 c^{2}\right)$
$=\left(a^{2} b^{2}+4 c^{2}\right)\left[(a b)^{2}-(2 c)^{2}\right]$
$=\left(a^{2} b^{2}+4 c^{2}\right)(a b+2 c)(a b-2 c)$
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