A) 0
B) 1
C) \[\omega \]
D) \[{{\omega }^{2}}\]
Correct Answer: A
Solution :
\[{{[(1+\omega +{{\omega }^{2}})+\omega ]}^{3n}}-{{[(1+\omega +{{\omega }^{2}})+{{\omega }^{2}}]}^{3n}}\] \[={{\omega }^{3n}}-{{({{\omega }^{2}})}^{3n}}\]\[=\,{{({{\omega }^{3}})}^{n}}-{{({{\omega }^{3}})}^{2n}}\]\[={{1}^{n}}-{{1}^{2n}}=0\].You need to login to perform this action.
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