化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
问题描述:
化简求值1-【(x-1/1-x)²】÷【(x²-x+1)/(x²-2x+1)】
答
=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)对不起,题目是1-{x-【1/(1-x)】}²÷【(x²-x+1)/(-2x+1)】,谢谢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