If `omega` is a cube root of unity, then find the value of the following: `(a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^2)/(c+comega+aomega^2)`

If omega is a cube root of unity,then find the value of the following: (1+omega-omega^(2))(1-omega+omega^(2))

If omega is a cube root of unity,then find the value of the following: (1-omega)(1-omega^(2))(1-omega^(4))(1-omega^(8))

If omega pm 1 is a cube root of unity, the value of (a + b omega + c omega^(2))/(b + c omega + a omega^(2))+ (a + b omega + c omega^(2))/(c + a omega + b omega^(2)) = ?

If 1 , omega , omega^(2) are the cube roots of unity then the values ((a+b omega+c omega^(2))/(c+a omega+b omega^(2))) + ((a+b omega+c omega^(2))/(b+c omega+a omega^(2))) = (A) 1 (B) 0 (C) -1 (D) None of these

If omega is an imaginary cube root of unity, then the value of |(a,b omega^(2),a omega),(b omega,c,b omega^(2)),(c omega^(2),a omega,c)| , is

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