Question

Factorize each of the following expressions:

$12m^2-27$

Answer 1

Given: $12m^2-27$

$\therefore 12m^2-27$
$=3(4m^2-9)$
$=3\left[\right(2m{)}^2-\left(3{)}^2\right]$
$=3(2m+3)(2m-3)$
$[\because a^2-b^2=(a+b\left)\right(a-b\left)\right]$

Hence, $12m^2-27=3(2m+3)(2m-3)$