Factorize:

Question:

Factorize:

$3 a^{3} b-243 a b^{3}$

 

Solution:

$3 a^{3} b-243 a b^{3}=3 a b\left(a^{2}-81 b^{2}\right)$

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

$=3 a b(a-9 b)(a+9 b)$

 

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