Factorize each of the following expression:
Question:

Factorize each of the following expression:
125x2 − 45y2

Solution:

$125 x^{2}-45 y^{2}$

$=5\left(25 x^{2}-9 y^{2}\right)$

$=5\left[(5 x)^{2}-(3 y)^{2}\right]$

$=5(5 x-3 y)(5 x+3 y)$