[1-x+(x-1/x)]÷[1-(1/x+1)]

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[1-x+(x-1/x)]÷[1-(1/x+1)][1-x+(x-1/x)]÷[1-(1/x+1)][1-x+(x-1/x)]÷[1-(1/x+1)]先化简去掉中括号:(1-x+x-1/x)÷(1-1

[1-x+(x-1/x)]÷[1-(1/x+1)]
[1-x+(x-1/x)]÷[1-(1/x+1)]

[1-x+(x-1/x)]÷[1-(1/x+1)]
先化简去掉中括号:(1-x+x-1/x)÷(1-1/x-1)
再化简:(1-1/x)÷(-1/x)
=(1-1/x)x(-x)
=1-x