If `x=a+b,y=aomega+bomega^2, z=aomega^2+bomega`, prove that `x^3+y^3+z^3=3(a^3+b^3)`

If x=a+b,y=aomega+bomega^2 and z=aomega^2+bomega , prove that xyz=a^3+b^3

If =a+b,y=aomega+bomega^2 and z=aomega^2+bomega, prove tht xyz=a^3+b^3

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that x^3+y^3+z^3=3(a^3+b^3)

If x=a+b , y=aomega+bomega^2 , z=aomega^2+bomega then show that , x^3+y^3+z^3=3(a^3+b^3)

If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then xyz

If x=a+b,y=a omega+b omega^(2),z=a omega^(2)+b omega prove that x^(3)+y^(3)+z^(3)=3(a^(3)+b^(3))

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that xyz =a^3+b^3

If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show that x^2+y^2+z^2=6ab

If x=a+b,y=aomega+bomega^(2),z=aomega^(2)+bomega then show that xyz=a^(3)+b^(3) "where " omega is a complex cube root of 1 . Find square root of - 2i.

If x = a + b, y = a omega + b omega^2, z = aomega^2 + b omega , show that (i) xyz = a^3 + b^3