Question

Factorize each of the following expressios:

$144a^2-289b^2$

Answer 1

Given: $144a^2-289b^2$

$\therefore 144a^2-289b^2$
$=(12a{)}^2-(17b{)}^2$
$=(12a+17b)(12a-17b)$
$[\because a^2-b^2=(a+b\left)\right(a-b\left)\right]$

Hence, $144a^2-289b^2=(12a+17b)(12a-17b)$.