化简 (x^3-x^2-x+1)/(x^2-2x+1)
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/09 12:08:52
化简 (x^3-x^2-x+1)/(x^2-2x+1)
(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)
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)
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