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Mathematics
Mathematics
Problem
If
1
,
α
1
,
α
2
,
α
3
,
…
,
α
n
−
1
1, \alpha_1, \alpha_2, \alpha_3, \dots, \alpha_{n-1}
1
,
α
1
,
α
2
,
α
3
,
…
,
α
n
−
1
are
n
n
n
th roots of unity, then
(
1
−
α
1
)
(
1
−
α
2
)
(
1
−
α
3
)
…
(
1
−
α
n
−
1
)
(1 - \alpha_1)(1 - \alpha_2)(1 - \alpha_3) \dots (1 - \alpha_{n-1})
(
1
−
α
1
)
(
1
−
α
2
)
(
1
−
α
3
)
…
(
1
−
α
n
−
1
)
equals to a. 0 b. 1 c.
n
n
n
d.
n
2
n^2
n
2
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