SOLUTION: Simplify the following expression. x^3+1 _______ x^2-x+1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Simplify the following expression. x^3+1 _______ x^2-x+1      Log On


   

Question 91605: Simplify the following expression.
x^3+1
_______
x^2-x+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28x%5E3+%2B+1%29%29%2F%28%28x%5E2+-+x+%2B+1%29%29
:
Note that (x^3 + 1) is the "sum of cubes" which factors to
%28%28x%2B1%29%28x%5E2+-+x+%2B+1%29%29%2F%28%28x%5E2+-+x+%2B+1%29%29 = (x+1)