If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, sh...

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If \( 1, \omega \) and \( \omega^{2} \) are cube roots of unity, show that
\[
\frac{p+q \omega+r \omega^{2}}{r+p \omega+q \omega^{2}}=\omega^{2}
\]
W
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