If \( 1, \omega, \omega^{2} \) are the three cube roots of unity, prove
\[
\left(2+5 \omega+2 \o...
If \( 1, \omega, \omega^{2} \) are the three cube roots of unity, prove
\[
\left(2+5 \omega+2 \omega \omega^{2}\right)^{6}=\left(2+2 \omega+5 \omega^{2}\right)^{6}=729
\]
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