Question

If 1, w, w2 are cube roots of unity then value of (1 + w) 3 - (1 +w2)3 is​

Answer 1

Answer:

Given,

1+3w+w

2

+(1+3−w

2

)

4

=1+3w+w

2

+(−w

2

+4)

4

=1+3w+w

2

+w

8

−16w

6

+96w

4

−256w

2

+256

=w

8

−16w

6

+96w

4

−255w

2

+3w+257

=w

2

−16+96w−255w

2

+3w+257

=241−256w

2

+99w