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Algebraic Expressions — MATHS STD 6 — Question

Gujarat BoardEnglish MediumSTD 6MATHSAlgebraic Expressions3 Marks
Question
Simplify:
$-2\left(x^2-y^2+x y\right)-3\left(x^2+y^2-x y\right)$
✓

Answer

We have:
$ -2\left(x^2-y^2+x y\right)-3\left(x^2+y^2-x y\right) $
$ =-2 x^2+2 y^2-2 x y-3 x^2-3 y^2+3 x y$
$ =-2 x^2-3 x^2+2 y^2-3 y^2-2 x y+3 x y$
$ =(-2-3) x^2+(2-3) y^2+(-2+3) x y$
$ =-5 x^2-y^2+x y$

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