If \[1,\omega ,{{\omega }^{2}}\] are three cube roots of unity, then \[{{(a+b\omega +c{{\omega }^{2}})}^{3}}\] + \[{{(a+b{{\omega }^{2}}+c\omega )}^{3}}\] is equal to, if \[a+b+c=0\] [West Bengal JEE 1992]

If \[1,\omega ,{{\omega }^{2}}\] are three cube roots of unity, then \

1.	If \[1,\omega ,{{\omega }^{2}}\] are three cube roots of unity, then \[{{(a+b\omega +c{{\omega }^{2}})}^{3}}\] + \[{{(a+b{{\omega }^{2}}+c\omega )}^{3}}\] is equal to, if \[a+b+c=0\] [West Bengal JEE 1992]
A.	\[27\,abc\]
B.	0
C.	\[3\,abc\]
D.	None of these
Answer» B. 0