先化简,再求值:1/x+1 - 1/x^2-1 ÷ x+1/x^2-2x+1,其中x=根号3 -1

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先化简,再求值:1/x+1 - 1/x^2-1 ÷ x+1/x^2-2x+1,其中x=根号3 -1
先化简,再求值:1/x+1 - 1/x^2-1 ÷ x+1/x^2-2x+1,其中x=根号3 -1

先化简,再求值:1/x+1 - 1/x^2-1 ÷ x+1/x^2-2x+1,其中x=根号3 -1
原式=1/(x+1)-1/(x+1)(x-1)×(x-1)^2/(x+1)
=1/(x+1)-(x-1)/(x+1)^2
=(x+1-x+1)/(x+1)^2
=2/(x+1)^2
=2/(√3-1+1)^2
=2/3