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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
Question
Simplify:$(x+y)\left(x^2-x y+y^2\right)$
✓

Answer

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

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