先化简再求值:x²-1/x²-2x+1/x+1/x-1*1-x/1+x,其中x=1/2
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x²-1/x²-2x+1/x+1/x-1*1-x/1+x
x²-1/x²-2x+1=(x+1)(x-1)/(x-1)^2=(x+1)(x-1)
x²-1/x²-2x+1/x+1/x-1=(x²-1/x²-2x+1)(x-1)/(x+1)=(x+1)(x-1)(x-1)/(x+1)=(x-1)^2
x²-1/x²-2x+1/x+1/x-1*1-x/1+x=(x-1)^2*1-x/1+x=(1-x)^3/x+1=(1/8)/(3/2)=1/12
x²-1/x²-2x+1=(x+1)(x-1)/(x-1)^2=(x+1)(x-1)
x²-1/x²-2x+1/x+1/x-1=(x²-1/x²-2x+1)(x-1)/(x+1)=(x+1)(x-1)(x-1)/(x+1)=(x-1)^2
x²-1/x²-2x+1/x+1/x-1*1-x/1+x=(x-1)^2*1-x/1+x=(1-x)^3/x+1=(1/8)/(3/2)=1/12
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