a^3+a^2-a-1分解因式

2025-06-22 16:42:35
推荐回答(3个)
回答1:

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

回答2:

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

回答3:

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