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Mathematics
Problem
If
(
a
+
i
b
)
5
=
p
+
i
q
(a + ib)^5 = p + iq
(
a
+
ib
)
5
=
p
+
i
q
, where
i
=
−
1
i = \sqrt{-1}
i
=
−
1
, prove that
(
b
+
i
a
)
5
=
q
+
i
p
(b + ia)^5 = q + ip
(
b
+
ia
)
5
=
q
+
i
p
.
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