Factorise: a^2+2 a b+b^2-9 c^2 - Vidyadip

Question

Factorise:
$a^2+2 a b+b^2-9 c^2$

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Answer

$a^2+2 a b+b^2-9 c^2$
$=(a+b)^2-(3 c)^2$
$=(a+b+3 c)(a+b-3 c)\left[\therefore a^2-b^2=(a-b)(a+b)\right]$

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