(a+b)[(a+b)^2-3ab]=a^3+b^3 怎么推导的?

2024-12-20 07:26:29
推荐回答(2个)
回答1:

(a+b)[(a+b)^2-3ab]
=(a+b)[a^2+2ab+b^2-3ab]
=(a+b)(a^2-ab+b^2)
=a^3-a^2*b+a*b^2+b*a^2-a*b^2+b^3
=a^3+b^3

回答2:

(a+b)[(a+b)^2-3ab]
=(a+b)³-3ab(a+b)
=a³+3a²b+3ab²+b³-3a²b-3ab²
=a³+b³