x^2+1/x^2-1减去x-2/x-1除以x-2/x

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x^2+1/x^2-1减去x-2/x-1除以x-2/xx^2+1/x^2-1减去x-2/x-1除以x-2/xx^2+1/x^2-1减去x-2/x-1除以x-2/xx^2+1/x^2-1减去x-2/x-

x^2+1/x^2-1减去x-2/x-1除以x-2/x
x^2+1/x^2-1减去x-2/x-1除以x-2/x

x^2+1/x^2-1减去x-2/x-1除以x-2/x
x^2+1/x^2-1减去x-2/x-1除以x-2/x
=(x²+1)/(x²-1)-(x-2)/(x-1)÷(x-2)/x
=(x²+1)/(x²-1)-x/(x-1)
=(x²+1-x²-1)/(x²-1)
=0