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Math Help - about factoring 4th power trinomials

  1. #1
    Super Member bigwave's Avatar
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    about factoring 4th power trinomials

    x^4-12x^2y^2+16y^2

    the ans to this is

    (x^2 - 2 x y - 4 y^2) (x^2 + 2 x y - 4 y^2)

    but I don't what steps are taken to get this I tried U subst
    but that did not seem to get this. looks like a plug in type solution
    but textbook does not show one

    thnx ahead
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  2. #2
    MHF Contributor Also sprach Zarathustra's Avatar
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    Re: about factoring 4th power trinomials

    Quote Originally Posted by bigwave View Post
    x^4-12x^2y^2+16y^2

    the ans to this is

    (x^2 - 2 x y - 4 y^2) (x^2 + 2 x y - 4 y^2)

    but I don't what steps are taken to get this I tried U subst
    but that did not seem to get this. looks like a plug in type solution
    but textbook does not show one

    thnx ahead

    Suppose that y=1, then what happens?
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  3. #3
    Super Member bigwave's Avatar
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    Re: about factoring 4th power trinomials

    well if y=1 you get

     (x^2-2 x-4) (x^2+2 x-4)

    but I don't see how you develop to get 2 tri nominals multiplied together from factoring this
    Last edited by bigwave; November 18th 2011 at 02:30 PM. Reason: left out a word
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