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Algebraic Expressions — Maths STD 7 — Question

Maharashtra BoardEnglish MediumSTD 7MathsAlgebraic Expressions2 Marks
Question
Find the following product:
$\left(x^2+x y+y^2\right)(x-y)$
✓

Answer

By column method:
$x^2+x y+y^2$
$\frac{\times(x-y)}{x^3+x^2 y+xy^2}$
$\frac{-x^2 y-xy^2-y^3}{x^3-y^3}$
$\therefore\left(x^2+xy+y^2\right)(x-y)=x^3-y^3$

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