Binomial theorem (nonfiction): Difference between revisions

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In [[Elementary algebra (nonfiction)|elementary algebra]], the '''binomial theorem''' (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form axbyc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b.
[[File:Binomial theorem visualization.svg|thumb|Visualization of binomial expansion up to the 4th power.]]In [[Elementary algebra (nonfiction)|elementary algebra]], the '''binomial theorem''' (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form axbyc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b.
 
 
== In the News ==
 
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== Fiction cross-reference ==
 
* [[Crimes against mathematical constants]]
* [[Gnomon algorithm]]
* [[Gnomon Chronicles]]
* [[Mathematics]]
 
== Nonfiction cross-reference ==
 
* [[Mathematics (nonfiction)]]
* [[Elementary algebra (nonfiction)]]
 
== External links ==
 
* [https://en.wikipedia.org/wiki/Binomial_theorem Binomial theorem] @ Wikipedia
 
 
[[Category:Nonfiction (nonfiction)]]
[[Category:Mathematics (nonfiction)]]
[[Category:Math needed (nonfiction)]]

Revision as of 06:28, 19 April 2020

Visualization of binomial expansion up to the 4th power.

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial (x + y)n into a sum involving terms of the form axbyc, where the exponents b and c are nonnegative integers with b + c = n, and the coefficient a of each term is a specific positive integer depending on n and b.


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