化简2/a+1减(a-2/a^2-1除于a^2-2a/a^2-2a+1)

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化简2/a+1减(a-2/a^2-1除于a^2-2a/a^2-2a+1)

原式=2/(a+1)-[(a-2)/(a+1)(a-1)×(a-1)²/a(a-2)]
=2a/a(a+1)-(a-1)/a(a+1)
=(2a-a+1)/a(a+1)
=(a+1)/a(a+1)
=1/a