Question

factorise the following using appropriate identities. 9x^2+6xy+y^2
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Answer 1

let us consider a=3x,b=y

we, know that (a+b) ^2=a^2+ b^2+2ab

(3x+y)^2=9x^2+y^2+6xy

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hope that it may help you...

Answer 2

${a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2}$

$= 9 {x}^{2} + 6xy + {y}^{2}$

$= {(3x)}^{2} + 2(3x)(y) + {(y)}^{2}$

$= {(3x + y)}^{2}$