If ` 1 , omega , omega^(2)` are the cube roots of unity , then find the values of the following .
`(a + 2 b)^(2) + ( a omega^(2) + 2 b omega)^(2) + ( a omega + 2 b omega^(2))^(2)`

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

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . ( 1+ omega )^(3 ) + ( 1 + omega^(2))^(3)

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . (a+ b)^(3) + ( a omega + b omega ^(2))^(3) + ( a omega^(2) + b omega)^(3)

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . ( 1 - omega + omega^(2))^(3)

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . (1 - omega + omega^(2))^(5) + ( 1 + omega - omega^(2))^(5)

If 1 , omega , omega^(2) are the cube roots of unity , then find the values of the following . [(a + b omega + c omega^(2))/(c + a omega + b omega^(2))] + [(a + b omega +c omega)/( b + c omega + a omega ^(2 ) ] ]