a^3-a-b^3+b 因式分解,求答案!!!

2025-03-13 11:39:47
推荐回答(4个)
回答1:

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

回答2:

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

回答3:

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

回答4:

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