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

Vedclass pdf generator app on play store
Vedclass iOS app on app store

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

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

Similar Questions

Evaluate the following products without multiplying directly : $103 \times 107$

Examine whether $x+2$ is a factor of $x^{3}+3 x^{2}+5 x+6$ and of $2 x+4$.

Factorise : $49 a^{2}+70 a b+25 b^{2}$

Which of the following expressions are polynomials in one variable and which are not ? State reasons for your answer.  $y+\frac{2}{y}$

Factorise $4 x^{2}+y^{2}+z^{2}-4 x y-2 y z+4 x z$.