Question

formula of a³ + b³ , a³ - b¾ , (a-b) ³ , (a+b)³ and a³+b³+c³-3abc

Answer 1

a³ +b³=(a+b)(a²-ab+b²)
(a-b)³=a³-b³-3ab(a-b)
(a+b)³=a³+b³+3ab(a+b)
and I don't think so there's some formula for (a³+b³+c³-3abc),but yes there's one condition
is a+b+c=0,then a³+b³+c³=3abc,which is also equal to a³+b³+c³-3abc and for a³-b^3/4 I don't know