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Express x⁴ + y⁴ + z⁴ - 2y²z² - 2z²x² - 2x²y² as the product of four factors.

  1. Nov 24, 2009 #1
    1. The problem statement, all variables and given/known data

    Express [tex]x^4 + y^4 + z^4 - 2y^2z^2 - 2z^2x^2 - 2x^2y^2[/tex] as the product of four factors.


    2. The attempt at a solution

    [tex](x-y-z)(-x+y-z)(-x-y+z)(x+y+z)[/tex]
     
  2. jcsd
  3. Nov 24, 2009 #2

    Dick

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    Homework Helper

    If you really just want someone to check, that works fine.
     
  4. Nov 24, 2009 #3
    Ok, thanks!
     
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