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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
