Question

分解因式a(a的平方-a-1)+1

Answer 1

a(a的平方-a-1)+1
=a³-a²-a+1
=a²(a-1)-(a-1)
=(a²-1)(a-1)
=(a+1)(a-1)(a-1)
=(a+1)(a-1)²

Answer 2

a(a的平方-a-1)+1
=a^3-a^2-a+1
=（a^3-a^2) - (a-1)
=a^2（a-1) - (a-1)
=（a-1) (a^2- 1)
=（a+1)(a-1)^2