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单选题多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)的公因式是A.x

问题描述:

单选题

多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)的公因式是A.x-y+zB.y+z-xC.x+y-zD.不存在的

网友答案:
C解析(x+y-z)(x-y+z)-(y+z-x)(z-x-y)=(x+y-z)(x-y+z)-(x-y-z)(x+y-z)=(x+y-z)[(x-y+z)-(x-y-z)].所以公因式是x+y-z.选C.
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