Factorise the following using appropriate identities : $9 x^{2}+6 x y+y^{2}$
Factorise the following using appropriate identities : $9 x^{2}+6 x y+y^{2}$
We have $9 x^{2}+6 x y+y^{2}$
$=(3 x)^{2}+2(3 x)(y)+(y)^{2}$
$=(3 x+y)^{2}$ $\left[\right.$ Using $\left.a^{2}+2 a b+b^{2}=(a+b)^{2}\right]$
$=(3 x+y)(3 x+y)$
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