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Mathematics
Mathematics
Problem
If
ω
(
≠
1
)
\omega (\neq 1)
ω
(
=
1
)
is a cube root of unity, then
(
1
−
ω
+
ω
2
)
(
1
−
ω
2
+
ω
4
)
(
1
−
ω
4
+
ω
8
)
…
(1 - \omega + \omega^2)(1 - \omega^2 + \omega^4)(1 - \omega^4 + \omega^8) \dots
(
1
−
ω
+
ω
2
)
(
1
−
ω
2
+
ω
4
)
(
1
−
ω
4
+
ω
8
)
…
upto
2
n
2n
2
n
factors, is a.
2
n
2^n
2
n
b.
2
2
n
2^{2n}
2
2
n
c. 0 d. 1
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