计算1/x+1+1/x-1+1/x²-2x+1

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计算1/x+1+1/x-1+1/x²-2x+1计算1/x+1+1/x-1+1/x²-2x+1计算1/x+1+1/x-1+1/x²-2x+1原式=1/(x+1)+(x-1)

计算1/x+1+1/x-1+1/x²-2x+1
计算1/x+1+1/x-1+1/x²-2x+1

计算1/x+1+1/x-1+1/x²-2x+1
原式=1/(x+1)+(x-1)/(x-1)²+1/(x-1)²
=1/(x+1)+x/(x-1)²
=[(x-1)²+x(x-1)]/(x+1)(x-1)²
=(2x²-3x+1)/(x+1)(x-1)²
=(2x-1)(x-1)/(x+1)(x-1)²
=(2x-1)/(x²-1)
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