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German National Olympiad
1966 German National Olympiad
1
(a + b)^n = a^n + b^n
(a + b)^n = a^n + b^n
Source: 1965-66 Germany R4 12.1
October 12, 2024
algebra
number theory
Problem Statement
Determine all real numbers
a
,
b
a, b
a
,
b
and all integers
n
≥
1
n\ge 1
n
≥
1
for which
(
a
+
b
)
n
=
a
n
+
b
n
(a + b)^n = a^n + b^n
(
a
+
b
)
n
=
a
n
+
b
n
holds.
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