binomial theorem

noun

: a theorem that specifies the expansion of a binomial of the form {latex}(x + y)^n = \sum\limits_{k = 0}^{n}{\frac{n!}{(n - k)!k!}}{x^{(n - k)}}{y^{k}}{/latex}

Examples of binomial theorem in a Sentence

Recent Examples on the Web

Their new paper refers to Pascal’s triangle, which is maybe most often used by math students learning binomial theorem and using the triangular set of integer values to decide what their coefficients are. —Caroline Delbert, Popular Mechanics, 17 Feb. 2020

Word History

First Known Use

1704, in the meaning defined above