Verify : x^{3}+y^{3}=(x+y)left(x^{2}-x y+y^{2}right)

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2. Polynomials

easy

Verify : $x^{3}+y^{3}=(x+y)\left(x^{2}-x y+y^{2}\right)$

Option A

Option B

Option C

Option D

Solution

$\rm {R.H.S.}$ $=(x+y)\left(x^{2}-x y+y^{2}\right)=x\left(x^{2}-x y+y^{2}\right)+y\left(x^{2}-x y+y^{2}\right)$

$=x^{3}-x^{2} y+x y^{2}+x^{2} y-x y^{2}+y^{3}=x^{3}+y^{3}= $ $\rm {L.H.S.}$

Standard 9

Mathematics

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