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Math Help - Perform Indicated Operations and Simplify

  1. #1
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    Perform Indicated Operations and Simplify

    (x cubed + 1 / X-1) / (X squared - X + 1/ X squared - 1)

    Hopefully this is easy enough to read!?!?
    Thank You
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  2. #2
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    Quote Originally Posted by josh_lea View Post
    (x cubed + 1 / X-1) / (X squared - X + 1/ X squared - 1)

    Hopefully this is easy enough to read!?!?
    Thank You
    I'm guessing :

    \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!):

    \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).
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