If \( 1, a_{1}, a_{2}, \ldots, a_{n-1} \) are the \( n \) roots of ...
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If \( 1, a_{1}, a_{2}, \ldots, a_{n-1} \) are the \( n \) roots of unity, then show that \( \left(1-a_{1}\right)\left(1-a_{2}\right)\left(1-a_{3}\right) \ldots\left(1-a_{n-1}\right)=n \)
\( \mathrm{P} \)
\( (1984,2 \mathrm{M}) \)
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