binomial theorem
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Input interpretation

binomial theorem (mathematical problem)

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 (2324 years ago) formulator | Euclid status | proved proof date | 1665 (1964 years later) (360 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)

Classes

solved mathematics problems | mathematics theorems
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