杭州交通信息网三清山好玩还是庐山:高手进!因式分解题,急
来源：百度文库 编辑：杭州交通信息网 时间：2024/04/29 22:49:51
(z^2-y^2-x^2)^2-4x^2y^2
(z^2-y^2-x^2)^2-4x^2y^2
=(z^2-y^2-x^2+2xy)(z^2-y^2-x^2-2xy)
=[z^2-(x-y)^2][z^2-(x+y)^2]
=(z+x-y)(z-x+y)(z+x+y)(z-x-y)
(z^2-y^2-x^2)^2-4x^2y^2
=(z^2-y^2-x^2)^2-(2xy)^2
=(z^2-y^2-x^2-2xy)(z^2-y^2-x^2+2xy)
= -(x^2+2xy+y^2-z^2)*-(x^2-2xy+y^2-z^2)
=[(x+y)^2-z^2]*[(x-y)^2-z^2]
=(x+y+z)(x+y-z)(x-y+z)(x-y-z)