< Binomische Formel < Polynomring < ZXY
Beweise die Identität
(
X
+
Y
)
n
=
∑
k
=
0
n
(
n
k
)
X
k
Y
n
−
k
{\displaystyle (X+Y)^{n}=\sum _{k=0}^{n}{\binom {n}{k}}X^{k}Y^{n-k}}
im
Polynomring
Z
[
X
,
Y
]
{\displaystyle {}\mathbb {Z} [X,Y]}
.
Eine Lösung erstellen
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![{\displaystyle {}\mathbb {Z} [X,Y]}](../../../../I/edfbba2cdadf27621062bce3ab05d0063526aac2.svg)