(x cubed + 1 / X-1) / (X squared - X + 1/ X squared - 1)
Hopefully this is easy enough to read!?!?
Thank You
I'm guessing :
$\displaystyle \dfrac{\dfrac{x^3+1}{x-1}}{\dfrac{x^2-x+1}{x^2-1}}=\dfrac{x^3+1}{x-1} \cdot \dfrac{x^2-1}{x^2-x+1}$
Now factor all terms (if possible!):
$\displaystyle \dfrac{x^3+1}{x-1} \cdot \dfrac{x^2-1}{x^2-x+1} = \dfrac{(x+1)(x^2-x+1)(x+1)(x-1)}{(x-1)(x^2-x+1)}$
Cancel equal factors. I'll leave this part for you.
By the way: If you don't want to use LaTeX then your problem should have been written like this:
((x^3 + 1) /( X-1)) / ((X^2 - X + 1) / (X^2 - 1))
I hope you see the difference(s).