Factorize each of the following expression:
Question:

Factorize each of the following expression:
(x – 4y)2 − 625

Solution:

$(x-4 y)^{2}-625$

$=(x-4 y)^{2}-25^{2}$

$=[(x-4 y)-25][(x-4 y)+25]$

$=(x-4 y-25)(x-4 y+25)$