Factorize each of the following expression:27x2 − 12y2
$27 x^{2}-12 y^{2}$
$=3\left(9 x^{2}-4 y^{2}\right)$
$=3\left[(3 x)^{2}-(2 y)^{2}\right]$
$=3(3 x-2 y)(3 x+2 y)$
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