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Math Help - I am having trouble simplifying this. Any suggestions?

  1. #1
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    Question I am having trouble simplifying this. Any suggestions?

    [{(x-y)^2-z^2}/{(x+y)^2-z^2}]*[(x+y-z)/(x-y+z)]
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  2. #2
    MHF Contributor harish21's Avatar
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    Do you mean:

     \frac{(x-y)^{2}-z^2}{(x+y)^{2}-z^2} \times \frac{(x+y-z)}{(x-y+z)} ???


    If so, use {a^2} - {b^2} = (a+b) (a-b) to write  (x-y)^{2}-z^2 = (x-y-z)(x-y+z).

    do the same for the denominator and cancel out like terms!
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  3. #3
    Super Member bigwave's Avatar
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    you may want to look at this

    http://www.wolframalpha.com/input/?i=[{(x-y)^2-z^2}%2F{(x%2By)^2-z^2}]*[(x%2By-z)%2F(x-y%2Bz)]

    doesn't look like its going to simplify too much... that is if OP is correct..
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  4. #4
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    Cool That's it!

    Quote Originally Posted by harish21 View Post
    Do you mean:

     \frac{(x-y)^{2}-z^2}{(x+y)^{2}-z^2} \times \frac{(x+y-z)}{(x-y+z)} ???


    If so, use {a^2} - {b^2} = (a+b) (a-b) to write  (x-y)^{2}-z^2 = (x-y-z)(x-y+z).

    do the same for the denominator and cancel out like terms!
    That is it! Thanks!
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