binomial theorem

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binomial coefficient



Colin Maclaurin (1698—1746) mathematician and natural philosopher


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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:

xn + nxn−1y + [n(n − 1)/2!]xn−2y2 + …+yn.

Subjects: Mathematics.

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