Factorise:49 a^2+84 a b+36 b^2 - Vidyadip

Question

Factorise:$49 a^2+84 a b+36 b^2 $

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Answer

$49 a^2+84 a b+36 b^2 $
$ =(7 a)^2+2 \times 7 a \times 6 b+(6 b)^2$
$\{\because$ $a^2+ 2ab + b^2= (a + b)^2\}$
$= (7a + 6b)^2$

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