Factorize each of the following expressions:

$12 m^{2} - 27$

Open in App

Solution

Given: $12 m^{2} - 27$

$∴ 12 m^{2} - 27$
$= 3 (4 m^{2} - 9)$
$= 3 [(2 m)^{2} - (3)^{2}]$
$= 3 (2 m + 3) (2 m - 3)$
$[∵ a^{2} - b^{2} = (a + b) (a - b)]$

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

Suggest Corrections

Similar questions

Factorize the following expression: $27 x^{2} - 12 y^{2}$

Factorize each of the following expressions:

$\frac{1}{27} x^{3} - y^{3} + 125 z^{3} + 5 x y z$

p^{3} + 27

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program