化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】

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化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】

化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
=1-(x-1)/(x-1)²×(x-1)²/(x²-x+1)
=1-(x-1)/(x²-x+1)
=(x²-x+1-x+1)/(x²-x+1)
=(x²-2x+2)/(x²-x+1)