If `a+b+c=0` and `omega,omega^2` are imaginary cube roots of unity, then `(a+bomega+comega^2)^2+(a+bomega^2+comega)^3=` 3abc (b) 6abc (c) 9 abc (d) 27 abc

If a+b+c=0 and omega,omega^(2) are imaginary cube roots of unity,then (a+b omega+c omega^(2))^(2)+(a+b omega^(2)+c omega)^(3)=3abc (b) 6abc (c) 9 abc (d) 27 abc

If omega be an imaginary cube root of unity, show that (a+bomega+comega^2)/(aomega+bomega^2+c) = omega^2

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 a cube root of unity, prove that (a+bomega+comega^2)/(c+aomega+bomega^2)=omega^2

If omega is the imaginary cube root of unity, then what is (2-omega+2omega^(2))^(27) equal to ?

omega is an imaginary root of unity.Prove that (a+b omega+c omega^(2))^(3)+(a+b omega^(2)+c omega)^(3)=(2a-b-c)(2b-a-c)(2c-a-b)

If omega be an imaginary cube root of unity, show that 1+omega^n+omega^(2n)=0 , for n=2,4 .

If omega is an imaginary cube root of unity.Then the equation whose roots are 2 omega+3 omega^(2),2 omega^(2)+3 omega, is