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binomial theorem

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.04 sec.
binomial theorem
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.

binomial theorem
Noun
a general mathematical formula that expresses any power of a binomial without multiplying out, as in (a+b)2=a2+2ab+b2

binomial theorem
Mathematics
The theorem that specifies the expansion of any power of a binomial, that is, (a + b)m. According to the binomial theorem, the first term of the expansion is xm, the second term is mxm-1y, and for each additional term the power of x decreases by 1 while the power of y increases by 1, until the last term ym is reached. The coefficient of xm-r is m![r!(m-r)!]. Thus the expansion of (a + b)3 is a3 + 3a2b + 3ab2 + b3.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.binomial theorem - a theorem giving the expansion of a binomial raised to a given power
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
probability theory, theory of probability - the branch of applied mathematics that deals with probabilities
theorem - a proposition deducible from basic postulates

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At the age of twenty-one he wrote a treatise upon the Binomial Theorem, which has had a European vogue.
 
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