If w is the complex cube-root of unity , show that (a+b)2+(aw+bw2)2+(aw2+bw)2= 6ab
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https://www.meritnation.com/ask-answer/question/please-note-w-omega-x-a-b-y-aw-bw2-z-aw2-bw/complex-numbers-and-quadratic-equations/4741036
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Please find below the link to similar query as asked by you:
Follow the part 2 of the solution in the below link.
https://www.meritnation.com/ask-answer/question/please-note-w-omega-x-a-b-y-aw-bw2-z-aw2-bw/complex-numbers-and-quadratic-equations/4741036
Do let us know in case of any further concerns.
Keep posting!