Question
Mathematics Question on complex numbers
The value of (1−ω+ω2)5+(1+ω−ω2)5, where ω and ω2 are the complex cube roots of unity, is
A
0
B
32ω
C
−32
D
32
Answer
32
Explanation
Solution
(1−ω+ω2)5+(1+ω−ω2)5
The value of (1−ω+ω2)5+(1+ω−ω2)5, where ω and ω2 are the complex cube roots of unity, is
0
32ω
−32
32
32
(1−ω+ω2)5+(1+ω−ω2)5