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2
2000 Advanced Topics #2: Simplification of Complex Numbers
2000 Advanced Topics #2: Simplification of Complex Numbers
Source:
June 21, 2012
Problem Statement
Simplify
(
−
1
+
i
3
2
)
6
+
(
−
1
−
i
3
2
)
6
\left(\dfrac{-1+i\sqrt{3}}{2}\right)^6+\left(\dfrac{-1-i\sqrt{3}}{2}\right)^6
(
2
−
1
+
i
3
)
6
+
(
2
−
1
−
i
3
)
6
to the form
a
+
b
i
a+bi
a
+
bi
.
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