答:(1)作差(2)变形(3)判断(4)结论
a³+b³=(a+b)(a²-ab+b²)
a³-b³=(a-b)(a²+ab+b²)
(a-b)^3=a^3-3a^2b+3ab^2-b^3
(a-b)^3=a^3-b^3-3ab(a-b).
(a+b+c)^3=a^3+b^3+c^3+3a^2b+3ab^2+3a^2c+3ac^2+3b^2c+3bc^2+6abc
答:(1)作差(2)变形(3)判断(4)结论
a³+b³=(a+b)(a²-ab+b²)
a³-b³=(a-b)(a²+ab+b²)
(a-b)^3=a^3-3a^2b+3ab^2-b^3
(a-b)^3=a^3-b^3-3ab(a-b).
(a+b+c)^3=a^3+b^3+c^3+3a^2b+3ab^2+3a^2c+3ac^2+3b^2c+3bc^2+6abc