Q.The value of $\left( \frac{1 + \omega}{1 - \omega} \right)^3 + \left( \frac{1 - \omega}{1 + \omega} \right)^3$ where $\omega$ is a non-real cube root of unity is

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The correct solution involves applying the fundamental concept to derive the final value step by step...

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Q.The value of (1+ω1−ω)3+(1−ω1+ω)3\left( \frac{1 + \omega}{1 - \omega} \right)^3 + \left( \frac{1 - \omega}{1 + \omega} \right)^3(1−ω1+ω​)3+(1+ω1−ω​)3 where ω\omegaω is a non-real cube root of unity is