Factorise the following, using the identity a^2+2 a b+b^2=(a+b)^2… - Vidyadip

Question

Factorise the following, using the identity $\mathrm{a}^2+2 \mathrm{a} b+\mathrm{b}^2=(\mathrm{a}+\mathrm{b})^2$
$9 x^2+30 x+25$

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Answer

$9 x^2+30 x+25$
$ =(3 x)^2+2 \times 3 x \times 5+5^2$
$=(3 x+5)^2 $
$ =(3 x+5)(3 x+5)$

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