MathDB
Problems
Contests
National and Regional Contests
Germany Contests
German National Olympiad
1966 German National Olympiad
1
1
Part of
1966 German National Olympiad
Problems
(1)
(a + b)^n = a^n + b^n
Source: 1965-66 Germany R4 12.1
10/12/2024
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.
algebra
number theory