Verify : $x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$
Verify : $x^{3}-y^{3}=(x-y)\left(x^{2}+x y+y^{2}\right)$
$\rm {R.H.S.}$ $=(x-y)\left(x^{2}+x y+y^{2}\right)=x\left(x^{2}+x y+y^{2}\right)-y\left(x^{2}+x y+y^{2}\right)$
$=x^{3}+x^{2} y+x y^{2}-x^{2} y-x y^{2}-y^{3}=x^{3}-y^{3}=$ $\rm {L.H.S.}$
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