先化简,再求值:1 - a-1⼀a除以(a⼀a+2 - 1⼀a的平方+2a)

2025-05-03 23:59:24
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1 -( a-1)/a除以(a/a+2 - 1/a的平方+2a)
=1-(a-1)/a÷[a²/a(a+2)-1/a(a+2)]
=1-(a-1)/a×a(a+2)/(a+1)(a-1)
=1-(a+2)/(a+1)
=(a+1-a-2)/(a+1)
=-1/(a+1)