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Ifomega is a nonreal cube root of unity ...

If`omega` is a nonreal cube root of unity then
`(a+bomega+cw^2)/(c+aomega+bomega^2)+(c+aomega+bomega^2)/(a+bomega+comega^2)+(b+comega+aomega^2)/(b+comega^4+aomega^5)` is equal to

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If omega is a cube root of unity, then find the value of the following: (a+bomega+comega^2)/(c+aomega+bomega^2)+(a+bomega+comega^2)/(b+comega+aomega^2)

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
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