Binomial.

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Binomial.
Binomial, algebraic expression that consists of exactly two terms separated by + or -, such as x + y or ab - cd. The binomial theorem asserts that the general expansion
of a binomial, such as (x + y), raised to the n th power is given by

The general coefficient of the kth term in the above expression is
and is usually denoted by the symbol (À The expansion of (x + y)n contains n + 1 terms. Formulated in medieval times, the binomial theorem was developed (about
).
1676) for fractional exponents by the English scientist Sir Isaac Newton, enabling him to apply his newly discovered methods of calculus to many difficult problems.
The binomial theorem is useful in various branches of mathematics, particularly in the theory of probability.
Contributed By:
James Singer
Reviewed By:
J. Lennart Berggren
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