binomial theorem

binomial theorem

English

Noun

binomial theorem

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

   ${\\displaystyle (x+y)^{4}\\;=\\;x^{4}\\,+\\,4x^{3}y\\,+\\,6x^{2}y^{2}\\,+\\,4xy^{3}\\,+\\,y^{4}.}$

Translations

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

Finnish: binomilause Icelandic: tvíliðusetning f

Swedish: binomialsats c