Question #9e031

1 Answer
Oct 12, 2017

Answer is 4.

Explanation:

(1-w+w^2)(1-w^2+w)=?.

Before going into details, let us get some info on omega.

Omega (w) is considered as the cube root of unity.

So, we get rarr

w^3=1

:.1+ω+ω^2=0

:.1+w^2=-w.

:.1+w=-w^2.

Now coming back to the required expression.

(1-w+w^2)(1-w^2+w)

=(-w-w)(-w^2-w^2)

=(-2w)(-2w^2)

=4w^3

=4xx1

=4. (Answer).

Hope it Helps:)