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Question

Question: If w is a cuberoot of unity then (1 + w – w<sup>2</sup>)<sup>7</sup> is equal to...

If w is a cuberoot of unity then (1 + w – w2)7 is equal to

A

128 w

B

– 128 w

C

128 w2

D

– 128 w2

Answer

– 128 w2

Explanation

Solution

(– w2 – w2)7 Q 1 + w + w2 = 0 = –128w2