Trinomial expansion
id:
trinomial-expansion-281-4094901
title:
Trinomial expansion
text:
In mathematics, a trinomial expansion is the expansion of a power of a sum of three terms into monomials. The expansion is given by where n is a nonnegative integer and the sum is taken over all combinations of nonnegative indices i, j, and k such that i + j + k = n. The trinomial coefficients are given by This formula is a special case of the multinomial formula for m = 3. The coefficients can be defined with a generalization of Pascal's triangle to three dimensions, called Pascal's pyramid or
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Trinomial_expansion
date created:
date modified:
2023-05-08T21:21:42Z
main entity:
{"identifier":"Q3077653","url":"https://www.wikidata.org/entity/Q3077653"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/09/Pascal_pyramid_trinomial.svg","width":512,"height":512}
fields total:
13
integrity:
14