a/a+2-1/a-1÷a+2/a²-2a+1

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a/a+2-1/a-1÷a+2/a²-2a+1

a/a+2-1/a-1÷a+2/a²-2a+1
a/a+2-1/a-1÷a+2/a²-2a+1

a/a+2-1/a-1÷a+2/a²-2a+1
a/a+2-1/a-1÷a+2/a²-2a+1
=a(a-1)/(a²-2a+1)-(a+2)/(a²-2a+1)÷a+2/a²-2a+1
=a²-a-a-2/a+2
=a²-2/a+2