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

问题描述:

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

是因式分解吗?x^4+y^4+z^4-(2x^2y^2)-(2x^2z^2)-(2y^2z^2)x^4+y^4+z^4-2x^2y^2-2x^2z^2+2y^2z^2-4y^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+y+z)(x+y-z)(x+z-y)(x-y-z)