Solveeit Logo

Question

Question: If a, b are the complex cube roots of unity, then a<sup>3</sup> + b<sup>3</sup> + a<sup>–2</sup>b<s...

If a, b are the complex cube roots of unity, then

a3 + b3 + a–2b–2is equal to –

A

0

B

3

C

– 3

D

None of these

Answer

3

Explanation

Solution

Sol. w3 + w6 + 1ω2.ω4\frac{1}{\omega^{2}.\omega^{4}} = 3