混合的分式加减计算(a/a-1-a²/a²-1)÷(1-1/a 1)

[a/(a-1)-a^2/(a^2-1)]÷[1-1/(a 1)]
=[a(a 1)-a^2]/[(a-1)(a 1)]÷[(a 1-1)/(a 1)]
=a/[(a-1)(a 1)]÷[a/(a 1)]
=a/[(a-1)(a 1)]*(a 1)/a
=1/(a-1)

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