Question

if 1,w,w² are threee cube root of unity , prove that :. (1 - w - w² )^6 =64​

Answer 1

Answer:

We know 1+w+w2=0

—》(1+w2−w)=−2w

—》(1−w2+w)=−2w2

—》(1+w2−w)(1−w2+w) =4w3=4×1=4

(Since w3=1 )

DONE.