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Math Help - Factorization

  1. #1
    Junior Member lanierms's Avatar
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    Seoul, South Korea
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    Factorization

    Can anyone factorize this for me?

    x^4+y^4+z^4-2x^2y^2-2y^2z^2-2z^2x^2.

    Thanks.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint :

    Solve p(x,y,z)=0 on x^2, its discriminant \Delta=16y^2z^2 is a perfect square, so you'll easily find the four roots x_i=x_i(y,z) , hence p(x,y,z)=\prod_{i=1}^4(x-x_i(y,z))
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