分式化简 代数 x+1/(x^2+x-2)/(x-2+(3/x+2)) 其中x=1-根号3/2

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分式化简 代数 x+1/(x^2+x-2)/(x-2+(3/x+2)) 其中x=1-根号3/2

x+1/(x^2+x-2)/(x-2+(3/x+2))
=(x+1)/(x-1)(x+2)/(x²-4+3)/(x+2)
=(x+1)/(x-1)(x+2)÷(x-1)(x+1)/(x+2)
=1/(x-1)²
=1/(1-√3/2-1)²
=1/(-√3/2)²
=1/3/2
=2/3