If \( \alpha, \beta, \gamma \) are the roots of equations \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \om.... VIDEO
If \( \alpha, \beta, \gamma \) are the roots of equations \( x^{3}-3 x^{2}+3 x+7=0 \) and \( \omega \) is cube root of unity, then the value of
\( \mathrm{P} \)
\( \frac{\alpha-1}{\beta-1}+\frac{\beta-1}{\gamma-1}+\frac{\gamma-1}{\alpha-1} \) is
(1) \( 2 \omega \)
(2) \( 3 \omega^{2} \)
(3) \( 3 \omega \)
(4) \( 2 \omega^{2} \)
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