Question

化简：(a/a-1-2a-1/a-1)÷a-1/a+2

求详细过程。

Answer 1

(a/a-1-2a-1/a-1)÷a-1/a+2
=（a-2a+1）/(a-1)÷ （a-1）/(a+2)
=(1-a)/(a-1)÷ （a-1）/(a+2)
=(a+2)/(1-a)

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Answer 2

原式=[a-(2a-1)]/(a-1)×(a+2)/(a-1)
=-(a-1)/(a-1)×(a+2)/(a-1)
=-(a+2)/(a-1)

Answer 3

[a/(a-1)-(2a-1)/(a-1)]÷(a-1)/(a+2)
=[a-(2a-1)]/(a-1)×(a+2)/(a-1)
=[-(a-1)]/(a-1)×(a+2)/(a-1)
=-(a+2)/(a-1)
=(a+2)/(1-a)