Factorize each of the following expression:3x3y − 243xy3
$3 x^{3} y-243 x y^{3}$
$=3 x y\left(x^{2}-81 y^{2}\right)$
$=3 x y\left[x^{2}-(9 y)^{2}\right]$
$=3 x y(x-9 y)(x+9 y)$
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