Question:
Factorize each of the following expression:
16a4 − b4
Solution:
$16 a^{4}-b^{4}$
$=\left(4 a^{2}\right)^{2}-\left(b^{2}\right)^{2}$
$=\left(4 a^{2}+b^{2}\right)\left(4 a^{2}-b^{2}\right)$
$=\left(4 a^{2}+b^{2}\right)\left[(2 a)^{2}-b^{2}\right]$
$=\left(4 a^{2}+b^{2}\right)(2 a+b)(2 a-b)$
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