Question

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

Answer 1

$$\begin{gathered} (x-4y{)}^2-625 \\ =(x-4y{)}^2-{25}^2 \\ =\left[\right(x-4y)-25]\left[\right(x-4y)+25] \\ =(x-4y-25)(x-4y+25) \end{gathered}$$