Question

if w is a complex cube root of unity show that (3-w²)(3-w)=13.​

Answer 1

Answer:

As we know

1+ w+ w2 = 0

& w3 =1

We have to use only these two formulas to find the

answer-

(1+ 1+w+w2)3 - (1+w2 - 3w)3

(1+0)3 - (-w - 3w)3

1 - (-64 w3)

1+ 64

= 65

Hence proved

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