Factorize:

Question:

Factorize:

$a^{2}+2 a b+b^{2}-9 c^{2}$

 

Solution:

$a^{2}+2 a b+b^{2}-9 c^{2}=(a+b)^{2}-(3 c)^{2}$

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

 

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