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}= $ $\rm {L.H.S.}$
Similar Questions
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Use suitable identities to find the products : $(x+8)(x-10)$
Write the coefficients of $x^2$ in each of the following :
$(i)$ $\frac{\pi}{2} x^{2}+x$ $ (ii)$ $\sqrt{2} x-1$
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Find a zero of the polynomial $p(x) = 2x + 1$.
Find a zero of the polynomial $p(x) = 2x + 1$.
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Factorise : $12 x^{2}-7 x+1$
Factorise : $12 x^{2}-7 x+1$