If 1- - -2 are the cube roots of unity- then the value of a -2-b-c -d -2-a-b -c -2-da- b- c- d - R is

S = aω^2+b+cω+ dω^2/a+bω+ cω^2+d= ω^2 (aω^2+b+cω+ dω^2)/(aω^2+ bω^3+ cω^4+ dω^2) = ω^2 (aω^2+b+cω+ dω^2)/(aω^2+b+cω+ dω^2)[ω^3=1] = ω^2= 1/ω ...

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Proof by mathematical induction

If 1, ω, ω2 a...

Question

If 1, $ω, ω^{2}$ are the cube roots of unity, then the value of $\frac{{a ω}^{2} + b + c ω + {d ω}^{2}}{a + b ω + {c ω}^{2} + d}$ (a, b, c, d $\in R$ ) is

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Solution

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