化简(a²/a+1-a+1)÷a/a²-1

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化简(a²/a+1-a+1)÷a/a²-1
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化简(a²/a+1-a+1)÷a/a²-1
化简(a²/a+1-a+1)÷a/a²-1

化简(a²/a+1-a+1)÷a/a²-1

原式=(a²/a+1-1/a+1)a²/a-1
=(a²-1/a+1)a-1
=[(a+1)(a-1)/a+1]a-1
=(a-1)a-1
=a²-a-1