Factorize each of the following expression:75a3b2 - 108ab4
$75 a^{3} b^{2}-108 a b^{4}$
$=3 a b^{2}\left(25 a^{2}-36 b^{2}\right)$
$=3 a b^{2}\left[(5 a)^{2}-(6 b)^{2}\right]$
$=3 a b^{2}(5 a-6 b)(5 a+6 b)$
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