Question

Solve it
(x³-1)/(x-1)=?​

Answer 1

Answer:

x^2+x+1

Step-by-step explanation:

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Answer 2

$\sf{ \underline{ \underline{Question}}}$

• Solve $\sf{\frac{( \ x^{3}-1)}{(x-1)}}$

$\sf{ \underline{ \underline{Answer}}}$

• $\sf{ \ x^{2}+x+1}$

$\sf{ \underline{ \underline{Solution }}}$

$\mapsto\sf{\frac{( \ x^{3}-1)}{(x-1)}}$

$\mapsto\sf{\frac{( \ x^{3}- \ 1^{3})}{(x-1)}}$

$\sf{As\:we\:know\:that}$

$\bf\boxed{ \ x^{3} - \ y^{3}\:=\:(x-y)( \ x^{2} + \ y^{2} +xy)}$

$\mapsto\sf{\frac{(x-1)( \ x^{2} + \ 1^{2} +x)}{(x-1)}}$

$\mapsto\sf{\frac{\cancel{(x-1)}( \ x^{2} + \ 1^{2} +x)}{\cancel{(x-1)}}}$

$\mapsto\sf{ \ x^{2} +x + 1}$

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