判断 (1-x平方)⼀[(1+xy)平方-(x+y)平方]的值是否为零?

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2025-05-20 03:41:25
推荐回答(2个)
回答1:

(1-x²)/[(1+xy)²-(x+y)²]
=(1-x²)/[(1+xy+x+y)(1+xy-x-y)]
=(1-x²)/[(1+x)(1+y)(1-x)(1-y)]
若为0,则x=1或x=-1,而此时分母为0,所以不可能等于0

回答2:

不为零