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WordReference Random House Unabridged Dictionary of American English © 2024bino′mial the′orem, [Math.]- Mathematicsthe theorem giving the expansion of a binomial raised to any power.
Collins Concise English Dictionary © HarperCollins Publishers:: binomial theorem n - a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n. It contains n + 1 terms: (x + a)n = xn + nxn–1a + [n(n–1)/2] xn–²a² +…+ (nk) xn–kak + … + an, where (nk) = n!/(n–k)!k!, the number of combinations of k items selected from n
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