一道因式分解题,解出来给分(10)x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2用设元法,

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一道因式分解题,解出来给分(10)x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2用设元法,

一道因式分解题,解出来给分(10)x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2用设元法,
一道因式分解题,解出来给分(10)
x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2
用设元法,

一道因式分解题,解出来给分(10)x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2用设元法,
x^4+y^4+z^4- 2x^2y^2 -2x^2z^2- 2y^2z^2
=(x^2-y^2-z^2)^2-4y^2z^2
=(x^2-y^2-z^2-2yz)(x^2-y^2-z^2+2yz)
=[x^2-(y+z)^2][x^2-(y-z)^2]
=(x-y-z)(x+y+z)(x+y-z)(x+z-y)