SOLUTION: hi i got a problem regarding rational expressions and i need a major help here's the problem: X^3 - 1 / 1 -x thanks!

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Question 167951: hi i got a problem regarding rational expressions and i need a major help
here's the problem:
X^3 - 1 / 1 -x
thanks!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E3+-+1%29%29%2F%28%281+-+x%29%29
:
Recognize the numerator can be factored as the "difference of cubes"
%28%28x-1%29%28x%5E2%2Bx%2B1%29%29%2F%28%281+-+x%29%29
:
Factor out -1 in the denominator and you have;
%28%28x-1%29%28x%5E2%2Bx%2B1%29%29%2F%28-1%28x-1%29%29
:
Cancel out the (x-1)'s and you have:
%28%28x%5E2%2Bx%2B1%29%29%2F%28-1%29
:
Which is:
-%28x%5E2%2Bx%2B1%29
;
Was this the "Major help" you needed?