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

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

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