Factorize each of the following expression:

Question:

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

Solution:

$27 x^{2}-12 y^{2}$

$=3\left(9 x^{2}-4 y^{2}\right)$

$=3\left[(3 x)^{2}-(2 y)^{2}\right]$

$=3(3 x-2 y)(3 x+2 y)$

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