# Factorize Each of the Following Expression: 27x2 − 12y2 - Mathematics

Sum

Factorize each of the following expression:
27x2 − 12y2

#### Solution

$27 x^2 - 12 y^2$
$= 3(9 x^2 - 4 y^2 )$
$= 3[(3x )^2 - (2y )^2 ]$
$= 3(3x - 2y)(3x + 2y)$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 7 Factorization
Exercise 7.5 | Q 2 | Page 17