满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值

来源:学生作业帮助网 编辑:六六作业网 时间:2024/07/04 17:23:52
满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值满足x

满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值
满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值

满足x²—x+1=0求(x-1)³+(x-1)²+(x-1)的值
原式=(x-1)[(x-1)²+(x-1)+1]
=(x-1)(x²-2x+1+x-1+1)
=(x-1)(x²-x+1)
=(x-1)*0
=0