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Algebraic Expressions, Identities and Factorisation — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
Question
Factorise the following expressions.
$ 2 a x^2+4 a x y+3 b x^2+2 a y^2+6 b x y+3 b y^2 $
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Answer

$ 2 a x^2+4 a x y+3 b x^2+2 a y^2+6 b x y+3 b y^2 $
$ =\left(2 a x^2+2 a y^2+4 a x y\right)+\left(3 b x^2+3 b y^2+6 b x y\right) $
$ =2 a\left(x^2+y^2+2 x y\right)+3 b\left(x^2+y^2+2 x y\right) $
$ =(2 a+3 b)(x+y)^2 $

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