计算[a-(a/a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+3a+2)

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计算[a-(a/a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+3a+2)
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计算[a-(a/a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+3a+2)
计算[a-(a/a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+3a+2)

计算[a-(a/a+1)]÷(a²-2a)/(a²-4)×(a+1)/(a²+3a+2)
=[(a²+a-a)/(a+1)]÷[a(a-2)/(a+2)(a-2)]×[(a+1)/(a+1)(a+2)]
=a²/(a+1)÷a/(a+2)×1/(a+2)
=a²/(a+1)×(a+2)/a×1/(a+2)
=a/(a+1)