Mathematical Research Data Initiative
Main page
Recent changes
Random page
Help about MediaWiki
Create a new Item
Create a new Property
Create a new EntitySchema
Merge two items
In other projects
Discussion
View source
View history
Purge
English
Log in
Formula
:
2
From MaRDI portal
Jump to:
navigation
,
search
Digital Library of Mathematical Functions ID
1.2.E2
(
a
+
b
)
n
=
a
n
+
(
n
1
)
a
n
-
1
b
+
(
n
2
)
a
n
-
2
b
2
+
…
+
(
n
n
-
1
)
a
b
n
-
1
+
b
n
.
superscript
𝑎
𝑏
𝑛
superscript
𝑎
𝑛
binomial
𝑛
1
superscript
𝑎
𝑛
1
𝑏
binomial
𝑛
2
superscript
𝑎
𝑛
2
superscript
𝑏
2
…
binomial
𝑛
𝑛
1
𝑎
superscript
𝑏
𝑛
1
superscript
𝑏
𝑛
{\displaystyle{\displaystyle(a+b)^{n}=a^{n}+\genfrac{(}{)}{0.0pt}{}{n}{1}a^{n-% 1}b+\genfrac{(}{)}{0.0pt}{}{n}{2}a^{n-2}b^{2}+\dots+\genfrac{(}{)}{0.0pt}{}{n}% {n-1}ab^{n-1}+b^{n}.}}
Constraint(s)
Symbols List
(
m
n
)
binomial
𝑚
𝑛
{\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
:
n
𝑛
{\displaystyle{\displaystyle n}}
: nonnegative integer
Resources that cite this formula
No records found.
Tools
What links here
Related changes
Special pages
Printable version
Permanent link
Page information
MaRDI portal item