Question

Factorise=a²+2ab+b²-9c². [5star+Bralliant answer].

Answer 1

a²+2ab+b²-9c²

a²+ab+ab+b²-(3c)²

a(a+b)+b(a+b)-(3c)²

(a+b)(a+b)-(3c)²

(a+b)²-(3c)²

now use identity a²-b²=(a+b)(a-b)

where

a=(a+b)

b=(3c)

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

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