If `omega and omega^2` are non real cube root of unity and `1/(a+omega)+1/(b+omega^7)+1/(c+omega^13)=2omega^20 and 1/(a+omega)+1/(b+omega^8)+1/(c+omega^14)=2omega^21`, then which is/are true-

If omega ne 1 is a cube root of unity such that : (1)/(a+omega)+(1)/(b+omega)+(1)/(c+omega)=2omega^(2) and (1)/(a+omega^(2))+(1)/(b+omega^(2))+(1)/(c+omega^(2))=2omega , then the value of (1)/(a+1)+(1)/(b+1)+(1)/(c+1) is :

If 1, omega and omega^(2) are the cube roots of unity, then (a+b+c) (a+b omega+c omega^(2))(a+b omega^(2) +c omega)=

If 1, omega and omega^(2) are the cube roots of unity evaluate (1-omega^(4)+omega^(8))(1-omega^(8)+omega^(16)) .

If 1, omega and omega^(2) are the cube roots of unity, prove that (a+b omega+c omega^(2))/(c+a omega+b omega^(2))=omega^(2)

If 1, omega , omega^(2) are the cube roots of unity then (1 + omega) (1 + omega^(2))(1 + omega^(4))(1 + omega^(8)) is equal to

If omega ne 1 is a cube root of unity, then 1, omega, omega^(2)

If 1,omega,(omega)^2 are the cube roots of unity, then (omega)^2(1+omega)^3-(1+(omega)^2)omega=