Factorize:

Question:

Factorize:

$108 a^{2}-3(b-c)^{2}$

 

Solution:

$108 a^{2}-3(b-c)^{2}=3\left[36 a^{2}-(b-c)^{2}\right]$

$=3\left[(6 a)^{2}-(b-c)^{2}\right]$

$=3(6 a-b+c)(6 a+b-c)$

 

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