If $\omega$ is a complex cube root of unity and $a, b, c$ are distinct real numbers, then $ \frac{a+b \omega+c \omega^2}{c+a \omega+b \omega^2}+\frac{a+b \omega+c \omega^2}{b+c \omega+a \omega^2}= $

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If $\omega$ is a complex cube root of unity and $a, b, c$ are distinct real numbers, then $ \frac{a+b…

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