Factorize each of the following expression:

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Question:

Factorize each of the following expression:
3x3y − 243xy3

Solution:

$3 x^{3} y-243 x y^{3}$

$=3 x y\left(x^{2}-81 y^{2}\right)$

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

$=3 x y(x-9 y)(x+9 y)$

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