" If "omega" be an imaginary cube root of unity,show that "

If omega is an imaginary cube root of unity, show that (a+ bomega+comega^(2))/(b+comega+aomega^(2))+(a+bomega+comega^(2))/(c+av+bomega^(2))=-1

If omega is an imaginary cube root of unity, show that (x+omega+ omega^(2))(x-omega^(2)-omega^(4))(x+omega^(4)+omega^(8))(x-omega^(8)-omega^(16)).."to" 2n factors =(x^(2)-1)^(n)

If omega is an imaginary cube root of unity, show that (omega)/(9)[(1- omega)(1-omega^(2))(1- omega^(4))(1- omega^(8))+9((c+aomega+bomega^(2))/(aomega^(2)+b+comega))^(2)]=-1

If omega is an imaginary cube root of unity, then show that (1-omega+omega^2)^5+(1+omega-omega^2)^5 =32

If omega is an imaginary cube root of unity, then show that (1-omega)(1-omega^2)(1-omega^4) (1-omega^5)=9

If omega be an imaginary cube root of unity, prove that omega^4+omega^8+1/omega+1/omega^2=-2

If omega be an imaginary cube root of unity, prove that (1-omega+omega^2)(1+omega-omega^2)=4

If omega be an imaginary cube root of unity, prove that (1-omega)(1-omega^2)(1-omega^4)(1-omega^8)=9

If omega be an imaginary cube root of unity, prove that (1-omega+omega^2)^4+(1+omega-omega^2)^4=-16