Factorize:

Question:

Factorize:

$3 a^{7} b-81 a^{4} b^{4}$

 

Solution:

$3 a^{7} b-81 a^{4} b^{4}=3 a^{4} b\left(a^{3}-27 b^{3}\right)$

$=3 a^{4} b\left[a^{3}-(3 b)^{3}\right]$

$=3 a^{4} b(a-3 b)\left[a^{2}+a \times 3 b+(3 b)^{2}\right]$

$=3 a^{4} b(a-3 b)\left(a^{2}+3 a b+9 b^{2}\right)$

 

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