binomial theorem

English

Noun

binomial theorem

(mathematics) A formula giving the expansion of a binomial such as $(a+b)$ raised to any positive integer power, i.e. $(a+b)^{n}$ . It's possible to expand the power into a sum of terms of the form $ax^{b}y^{c}$ where the coefficient of each term is a positive integer. For example:
$(x+y)^{4}\;=\;x^{4}\,+\,4x^{3}y\,+\,6x^{2}y^{2}\,+\,4xy^{3}\,+\,y^{4}.$

Translations

formula giving the expansion of an alegraic sum raised to any positive integer power

Finnish: binomilause
Icelandic: tvíliðusetning f

Swedish: binomialsats c

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.