Question icon
Grade 12th passAnalytical Geometry

If w is the complex cube root of unity then the value of (1+w^2)^3

Profile image of Kk
4 Years agoGrade 12th pass
Answers icon

1 Answer

Profile image of Priyansh Gupta
4 Years ago
we know 1+w +w^2 =0
Therefore 1+w^2 =-w 
 
Substituting in the equation we get (-w)^3 which is equal to – (w)^3 = -1
since w^3 =1