化简 (1+1/x-2)除以x²-2x+1/x²-4

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化简 (1+1/x-2)除以x²-2x+1/x²-4

化简 (1+1/x-2)除以x²-2x+1/x²-4
化简 (1+1/x-2)除以x²-2x+1/x²-4

化简 (1+1/x-2)除以x²-2x+1/x²-4
原式=(x-2+1)/(x-2)÷(x-1)²/(x+2)(x-2)
=(x-1)/(x-2)*(x+2)(x-2)/(x-1)²
=(x+2)/(x-1)