Answer:
3
Step-by-step explanation:
w(omega) is one of the cube roots of unity,along with 1 and w^2,
where w=(-1+i√3)/2 and w^2=(-1-i√3)/2
; where i=√-1
Also, 1+w+w^2=0 .....(1)
w^3=1 .....(2)
(The above are the properties of cube roots of unity)
From question,
(1-w)(1-w^2)
=1-w^2-w+w^3
=1-(w+w^2)+1. [From ...(2)]
=1+1+1. [From ...(1)]
=3 [ANS]
