Prove

Asked by  | 25th Aug, 2008, 12:18: PM

Expert Answer:

we know that 1+w+w2=0 and w3=1

so using these subsitute 1+w=-w2 and 1+w2=-w in L.H.S.

L.H.S.=(-w2-2w2)4+(-4w+w)4 = (-3w2)4 + (-3w)4 = 81(w8 + w4) = 81(w2+w) =81(-1)= -81

Answered by  | 25th Aug, 2008, 07:10: PM

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