If a and b are imaginary cube roots of unity, then `alpha^n+beta^n` is equal to

if alpha and beta are imaginary cube root of unity then prove (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 imaginary cube roots of unity, then the value of (alpha)^4 + (beta)^28 + frac{1}{(alpha)(beta)} is

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

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^-1beta^-1=0