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Algebra....
Algebra....
Source:
October 31, 2019
Newton s binom
algebra
Problem Statement
Let
a
,
b
,
n
a,b,n
a
,
b
,
n
be three natural numbers. Prove that there exists a natural number
c
c
c
satisfying:
(
a
+
b
)
n
=
c
+
(
a
−
b
)
n
+
c
\left( \sqrt{a} +\sqrt{b} \right)^n =\sqrt{ c+(a-b)^n} +\sqrt{c}
(
a
+
b
)
n
=
c
+
(
a
−
b
)
n
+
c
Dan Popescu
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