问题 填空题
化简:(1+
1
x-1
)÷(1+
1
x2-1
)
的结果是______.
答案

(1+

1
x-1
)÷(1+
1
x2-1

=

x-1+1
x-1
÷
x2-1+1
x2-1

=

x
x-1
(x+1)(x-1)
x2

=

x+1
x

故答案为:

x+1
x

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