(i) If `alpha`,`beta` be the imaginary cube root of unity, then show that `alpha^4+beta^4+alpha^-1beta^-1=0`

(i) If alpha,beta be the imaginary cube root of unity, then show that alpha^(4)+beta^(4)+alpha^(-1)beta^(-1)=0

If alpha and beta are the complex cube roots of unity, then show that alpha^4 + beta^4 + alpha^-1beta^-1 = 0

If alpha and beta are the complex cube roots of unity, show that alpha^4+beta^4 + alpha^-1 beta^-1 = 0.

If alpha , beta are the imaginary cube roots of unity then alpha^(4) + beta^(4) - (alpha + beta)^(4) =

If alpha and beta are complex cube roots of unity, show that alpha^4 + beta^4 + alpha^(-1) beta^(-1) =0

If alpha and beta are the complex cube roots of unity, then show that alpha^2 + beta^2 + alphabeta = 0

If alpha,beta be the imaginary cube root of unity, then the value of (alpha^4+alpha^2beta^2+beta^4) is

if alpha and beta are imaginary cube root of unity then prove (alpha)^4 + (beta)^4 + (alpha)^-1 . (beta)^-1 = 0

if alpha and beta are imaginary cube root of unity then prove (alpha)^(4)+(beta)^(4)+(alpha)^(-1)*(beta)^(-1)=0

If alpha and beta are the complex cube root of unity, show that alpha ^(4) + beta ^(4) + alpha ^( -1) beta ^(-1) = 0