化简(x^2-2x+1)/(x^2+1)÷(x-1)/(x^2+x)-x

化简(x^2-2x+1)/(x^2+1)÷(x-1)/(x^2+x)-x
化简(x^2-2x+1)/(x^2+1)÷(x-1)/(x^2+x)-x

化简(x^2-2x+1)/(x^2+1)÷(x-1)/(x^2+x)-x
你是不是搞错了一个符号
(x^2-2x+1)/(x^2 - 1)÷(x-1)/(x^2+x)-x
=(x-1)²/(x+1)(x-1)×x(x+1)/(x-1)-x
=x-x
=0
(x^2-2x+1)/(x^2+1)÷(x-1)/(x^2+x)-x
=(x-1)²/(x²+1) ×x(x+1)/(x-1) -x
=x(x+1)(x-1)/(x²+1) -x
=x(x²-1)/(x²+1) -x(x²+1)/(x²+1)
=-2x/(x²+1)

你好，第一个分母是x^2-1吧，否则不能约分很复杂啊


(x^2-2x+1)/(x^2-1)÷(x-1)/(x^2+x)-x
=(x-1)^2/[(x-1)(x+1)]*[x(x+1)/(x-1)]-x
=(x-1)/(x+1)*[x(x+1)/(x-1)]-x
=x-x
=0