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

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions, Identities and Factorisation2 Marks
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$ \left(5 x^2-3 x y+4 y^2-9\right)+\left(7 y^2+5 x y-2 x^2+13\right) $
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Answer

$ \left(5 x^2-3 x y+4 y^2-9\right)+\left(7 y^2+5 x y-2 x^2+13\right) $
$ =5 x^2-3 x y+4 y^2-9+7 y^2+5 x y-2 x^2+13 $
$ =\left(5 x^2-2 x^2\right)+(-3 x y+5 x y)+\left(4 y^2+7 y^2\right)+(-9+13)$
$ =3 x^2+2 x y+11 y^2+4 $

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