化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
1个回答
展开全部
=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)
=1-(x-1)/(x²-x+1)
=(x²-x+1-x+1)/(x²-x+1)
=(x²-2x+2)/(x²-x+1)
追问
对不起，题目是1-｛x-【1/(1-x)】｝²÷【(x²-x+1)/(-2x+1)】，谢谢
追答
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-(x²-x+1)²/(x-1)²×(x-1)²/(x²-x+1)
=1-(x²-x+1)
=x-x²
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