[" If "x=p+q,y=p omega+q omega^(2)" and "],[z=p omega^(2)+q omega_(" where ")omega" is a complex cube "],[" root of unity then "y==]

If x=p+q,y=p omega+q omega^(2), and z=p omega^(2)+q omega where omega is a complex cube root of unity then xyz=

If x=p+q,y=pomega+q omega^(2) and z=p omega^(2)+q omega , where omega is a complex cube root of unity, then xyz equals to

If omega is a complex cube root of unity, then (1+omega^2)^4=

If omega is a complex cube root of unity, then (1-omega+(omega)^2)^3 =

(2-omega)(2-omega^(2))(2-omega^(10))(2-omega^(11))="…….." , where omega is the complex cube root of unity

If omega is the complex cube root of unity, then find omega+1/omega

If p=a+b omega+c omega^(2);q=b+c omega+a omega^(2) and r=c+a omega+b omega^(2) where a,b,c!=0 and omega is the complex cube root of unity,then

If A =({:( 1,1,1),( 1,omega ^(2) , omega ),( 1 ,omega , omega ^(2)) :}) where omega is a complex cube root of unity then adj -A equals

If z is a complex number satisfying |z-3|<=4 and | omega z-1-omega^(2)|=a (where omega is complex cube root of unity then