Question

a^3-1=？（因式分解）

要过程，不要说利用立方差共识直接答案，要过程！~~

Answer 1

a^3-1=a^3-a^2+a^2-a+a-1 =(a^3-a^2)+(a^2-a)+(a-1) =a^2(a-1)+a(a-1)+(a-1)X1 =(a-1)(a^2+a+1)

Answer 2

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

Answer 3

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

Answer 4

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