A rule for the expansion of a binomial expression (expression consisting of the sum of two variables raised to a given power). The general binomial expression (x+y)n expands to:
The theorem that gives the expansion of the nth power, where n is a non-negative integer, of a binomial:
where
The binomial coefficient is often written as nCr (see combination). Setting a=b=1 gives the relation
The theorem appears in the 1742 Treatise of Fluxions by Maclaurin.
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