1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    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)


    1/x2 - x/x2 ≠ (x2 - x-2) ...?

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


    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).
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook