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多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式

题目详情
多项式(x+y-z)(x-y+z)-(y+z-x)(z-x-y)公因式
▼优质解答
答案和解析
(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)(x-y+z+y+z-x)
=(x+y-z)*2z
公因式为x+y-z