化简(a-1-1/(a-1))÷(a²-4a+4)/(a²-a),其中a=-1

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化简(a-1-1/(a-1))÷(a²-4a+4)/(a²-a),其中a=-1

原式=[(a-1)²-1]/(a-1)÷(a-2)²/a(a-1)
=[a(a-2)/(a-1)]×[a(a-1)/(a-2)²]
=a²/(a-2)
=1/(-1-2)
=-1/3