## Definitions

### from The American Heritage® Dictionary of the English Language, 4th Edition

- n. Mathematics The theorem that specifies the expansion of any power (a + b)m of a binomial (a + b) as a certain sum of products aibj, such as (a + b)2 = a2 + 2ab + b2.

### from Wiktionary, Creative Commons Attribution/Share-Alike License

- n. A formula giving the expansion of a binomial such as raised to any positive integer power, i.e. . It's possible to expand the power into a sum of terms of the form where the coefficient of each term is a positive integer. For example:

### from the GNU version of the Collaborative International Dictionary of English

- adj. the theorem which expresses the law of formation of any power of a binomial.
- n. See under Binomial.

### from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.

- n. a theorem giving the expansion of a binomial raised to a given power

## Etymologies

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## Examples

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