binomial theorem

English

Noun

Wikipedia binomial theorem (uncountable)

1. (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^by^c where the coefficient of each term is a positive integer. For example:

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

Translations

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

Icelandic: tvíliðusetning (is) f.

Swedish: binomialsats c.