Question

If w be an imaginary cube root of unity, show that
(1+w-w²)(1-w+w²)=4

Answer 1

Step-by-step explanation:

Hope you know 1+w+w*2=0

(1+w+w*2-2w*2)(1+w-2w+w*2)

=(-2w*2)(-2w)

=4w*3

=4(since w*3=1)

Good luck