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    Binomial Theorem

    Statement

    The binomial theorem gives a formula for the algebraic expansion of powers of a binomial, namely (x + a)^ν = sum_(k=0)^∞(ν k)x^ka^(ν - k).

    History

    formulation date | 300 BC (2325 years ago) formulator | Euclid status | proved proof date | 1665 (1964 years later) (361 years ago) prover | Blaise Pascal additional people involved | Pierre de Fermat | Euclid | Halayudha | Yang Hui | Isaac Newton | Omar Khayyam | Pingala

    Associated equation

    (x + a)^ν = sum_(k=0)^∞(ν k)x^ka^(ν - k)