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(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式 过程(x+y-z)(x-y+z)-(y+z-x)(z-

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/27 13:57:30
(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式 过程(x+y-z)(x-y+z)-(y+z-x)(z-x-y)=(x+y-z)(x-y+z)+(y+z-x)
为什么变成加号只有后面的变号
(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式
过程(x+y-z)(x-y+z)-(y+z-x)(z-x-y)=(x+y-z){(x-y+z)+(y+z-x)}
(x+y-z)(x-y+z)-(y+z-x)(z-x-y)=(x+y-z)(x-y+z)+(-1)(y+z-x)(z-x-y)
=(x+y-z)(x-y+z)+(y+z-x)(-1)(z-x-y)
=(x+y-z)(x-y+z)+(y+z-x)(x+y-z)
=(x+y-z){(x-y+z)+(y+z-x)}