计算a-a^2/a^2-1 除以a/a-1 乘 (a+1/a-1)^2

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计算a-a^2/a^2-1除以a/a-1乘(a+1/a-1)^2计算a-a^2/a^2-1除以a/a-1乘(a+1/a-1)^2计算a-a^2/a^2-1除以a/a-1乘(a+1/a-1)^2如果题目

计算a-a^2/a^2-1 除以a/a-1 乘 (a+1/a-1)^2
计算a-a^2/a^2-1 除以a/a-1 乘 (a+1/a-1)^2

计算a-a^2/a^2-1 除以a/a-1 乘 (a+1/a-1)^2
如果题目是：
（a-a^2)/(a^2 -1) ÷ {a/(a-1) x [(a+1)/(a-1)]^2 }
则可以
原式 = a(1-a)/[(a-1)(a+1)] ÷ {[a x (a+1)^2] / [(a-1) x(a-1)^2] }
= [-a/(a+1)] x (a-1)^3 / [a(a+1)^2]
= -a (a-1)^3 / [a(a+1)(a+1)^2]
=-(a-1)^3 / (a+1)^3
如果题目是：
（a-a^2)/(a^2 -1) ÷ [a/(a-1)] x [(a+1)/(a-1)^2 ]
=-a/(a+1)*(a-1)/a x (a+1)^2 / (a-1)^2
=-(a-1)/(a+1) x (a+1)^2 / (a-1)^2
= -(a+1)/(a-1)