Linear Equations in One Variable — Maths STD 7 — Question
Maharashtra BoardEnglish MediumSTD 7MathsLinear Equations in One Variable2 Marks
Question
How much less is $x^2-2 x y+3 y^2$ than $2 x^2-3 y^2+x y$ ?
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Answer
We have:
$\left(2 x^2-3 y^2+x y\right)-\left(x^2-2 x y+3 y^2\right)$
$=2 x^2-3 y^2+x y-x^2+2 x y-3 y^2$
$=2 x^2-x^2-3 y^2-3 y^2+x y+2 x y$
$=x^2-6 y^2+3 x y$
$x^2-2 x y+3 y^2$ is less than $2 x^2-3 y^2+x b y x^2-6 y^2+3 x y$.
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