Ques

as we know if a + b + c = 0 , then  a³ + b³ +c³ = 3abc

so as given in the qus.  cube root of a + cube root of b + cube root of c = 0.

so this imply  a + b + c = 3cube root of(abc)

so cube of (a+b+c)  =   (3cube root of(abc))³  =  27 abc