化简 (x^3-x^2-x+1)/(x^2-2x+1)_数学解答

化简 (x^3-x^2-x+1)/(x^2-2x+1)

人气：420 ℃　时间：2020-05-19 08:22:22

解答

(x^3-x^2-x+1)/(x^2-2x+1)
x^3-X^2-X+1
=(x^3-x^2)-(x-1)
=x^2(x-1)-(x-1)
=(x^2-1)(x-1)
=(x+1)(x-1)(x-1)
=(x+1)(x-1)^2
(x^2-2x+1)
=(x-1)^2
(x^3-x^2-x+1)/(x^2-2x+1)=(x+1)