`(2+5omega+2 omega^2)^6=(2+2omega+5 omega^2)^6=729`

If omega is a complex cube root of unity, then show that: (3 + 3omega + 5omega^2)^6 - (2 + 6omega + 2omega^2)^3 = 0

If 1, omega, omega^(2) are the three cube roots of unity, then simplify: (3 + 5omega + 3omega^(2))^(2) (1 + 2omega + omega^(2))

If omega, omega^2 be imaginary cube root of unity then (3 +3 omega + 5 omega^2) ^6 - (2 + 6omega + 2 omega^2)^3 is equal to

If omega is a complex cube root of unity, show that (3+3 omega+5 omega^2)^6 - (2+6omega+2 omega^2)^3 =0

If 1, omega, omega^2 be the cube roots of unity, then the value of (1 - omega + omega^2)^(5) + (1 + omega - omega^2)^5 is :

If 1, omega,omega^2 are the cube roots of unity the value of (1 - omega + omega^2)^5 + ( 1 + omega - omega^2)^5 is equal to

If omega pm 1 is a cube root of unity, show that (1 - omega + omega^(2))^(6) + (1 + omega - omega^(2))^(6) = 128

If omega,omega^(2) be imaginary cube root of unity then (3+3 omega+5 omega^(2))^(6)-(2+6 omega+2 omega^(2))^(3) is equal to

If omega is complex cube root of unity then (3+5 omega+3 omega^(2))^(2)+(3+3 omega+5 omega^(2))^(2) is equal to

If omega is complex cube root of unity then (3+5 omega+3 omega^(2))^(2)+(3+3 omega+5 omega^(2))^(2) is equal to