化简X^2+1/x-1-2x^2+2x/x^2-1

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化简X^2+1/x-1-2x^2+2x/x^2-1化简X^2+1/x-1-2x^2+2x/x^2-1化简X^2+1/x-1-2x^2+2x/x^2-1要把分子分母标清楚(x-2)/(x^2-1)÷(2

化简X^2+1/x-1-2x^2+2x/x^2-1
化简X^2+1/x-1-2x^2+2x/x^2-1

化简X^2+1/x-1-2x^2+2x/x^2-1
要把分子分母标清楚

(x-2)/(x^2-1)÷(2x+2)/(x^2+2x+1)+1/(x-1)
=(x-2)/(x-1)(x+1)÷2(x+1)/(x+1)²+1/(x-1)
=(x-2)/(x-1)(x+1)*(x+1)/2+1/(x-1)
=(x-2)/2(x-1)+1/(x-1)
=[(x-2)+2]/2(x-1)
=x/2(x-1)=(√2+1)/2(√2+1-1)=(2+√2)/4