Factorize each of the following expression:

$a^{4} b^{4}-16 c^{4}$

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

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

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

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