If 1,w,w2 are the cube roots of unity show that

(a+bw+cw2 )3 + (a+bw2 +cw)3  =  (2a-b-c) (2b-c-a) (2c-a-b)

If   3  = a+ib prove that a2+b2 = 4a-3

  2 + cos(theta) + i sin(theta)

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Thank u very much sir. I love it when ans r detailed and its rare 2 find.Truly happy :)

  • 1

if w3 = 1, then how is 1 + w2 + w3 = 0 ?

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