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Homework Help: Simplifying the following function

  1. Oct 16, 2012 #1
    1. The problem statement, all variables and given/known data
    I have stumbled upon the following equation on wikipedia
    http://upload.wikimedia.org/math/b/8/d/b8de8bfcdf40f1793e7b72755161d61f.png

    To clarify, I am not sure how to simplify the equation of the form

    x^2/(1-x) = 1/(x^2 - x^-2)

    as demonstrated in the second line of the equation.

    3. The attempt at a solution

    I temporarily reciprocated the equation to become

    (1-x)/ x^2 = (x^2 - x^-2)

    But,

    1/x2 - x/x2 ≠ (x2 - x-2) ...?

    Something is terribly wrong here. Please advice.
     
  2. jcsd
  3. Oct 16, 2012 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    I think you are misreading where the exponents of 2 are. The form you want to show is x/(1-x^2)=1/(1/x-x).
     
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