化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/04 06:25:07
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)
再问: 对不起,题目是1-{x-【1/(1-x)】}²÷【(x²-x+1)/(-2x+1)】,谢谢
再答: 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
=1-(x-1)/(x²-x+1)
=(x²-x+1-x+1)/(x²-x+1)
=(x²-2x+2)/(x²-x+1)
再问: 对不起,题目是1-{x-【1/(1-x)】}²÷【(x²-x+1)/(-2x+1)】,谢谢
再答: 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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