有关因式分解a(a²-a-1)+1

来源：学生作业帮助网编辑：作业帮时间：2024/05/25 13:28:30

有关因式分解a(a²-a-1)+1
有关因式分解
a(a²-a-1)+1

有关因式分解a(a²-a-1)+1
a(a^2-a-1)+1
=a^3-a^2-a+1
=a^2(a-1)-(a-1)
=(a-1)(a^2-1)
=(a-1)^2(a+1)

a(a²-a-1)+1=a^3-a^2-a+1
=a^2(a-1)-(a-1)=(a^2-1)(a-1)=(a+1)(a-1)^2

1-a