朋友的知心话怎么写:分解下列因式

来源:百度文库 编辑:查人人中国名人网 时间:2024/05/11 13:17:34
1、(x-2)^2-x+2
2、x^3-x^2-x+1

、(x-2)^2-x+2
=x^2-4x+4-x+2
=x^2-5x+6
=[x-2][x-3]

2、x^3-x^2-x+1
=x^2[x-1]-[x-1]
=[x-1][x^2-1]
=[x-1]^2[x+1]

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

1 =x^2-4x+4-x+2=x^2-5x+6=(x-2)*(x-3)

2 =x^2(x-1)-(x-1)=(x-1)^2*(x=1)