Question 1199368
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<pre>

Well known identity is

    {{{x^3-1}}} = {{{(x-1)*(x^2+x+1)}}}.


From this identity,

    {{{(x^3-1)/(x^2 + x + 1)}}} = x-1.


<U>ANSWER</U>.  {{{(x^3-1)/(x^2 + x + 1)}}} = x-1.
</pre>

Solved.



For this identity,  &nbsp;&nbsp;{{{x^3-1}}} = {{{(x-1)*(x^2+x+1)}}},  &nbsp;&nbsp;see the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/Polynomials-and-rational-expressions/The-difference-of-cubes-formula.lesson>The difference of cubes formula</A>.
in this site.


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Alternatively, &nbsp;you may divide using long division.


The answer will be the same.