Question

Factorize:
$4p^2-25q^2$

Answer 1

We have $4p^2-25q^2$

We know the identity $a^2-b^2=(a-b)(a+b)$

It can be written as $4p^2-25q^2=(2p{)}^2-(5q{)}^2$

$=(2p-5q)(2p+5q)$
Thus factors are $(2p-5q),(2p+5q)$.