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Binomial aus Wikipedia. Zum Beitrag

Binomial - Wikipedia, the free encyclopedia a.new,#quickbar a.new{color:#ba0000} /* cache key: enwiki:resourceloader:filter:minify-css:4:f2a9127573a22335c2a9102b208c73e7 */ Binomial From Wikipedia, the free encyclopedia Jump to: , For other uses, see Binomial (disambiguation). This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed. (March 2011) In ?the sum of two monomials?often bound by parenthesis or brackets when operated upon. It is the simplest kind of polynomial after the monomials.

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Operations on simple binomials

The binomial a2 ? b2 can be factored as the product of two other binomials: a2 ? b2 = (a + b)(a ? b). This is a special case of the more general formula: . The product of a pair of linear binomials (ax + b) and (cx + d) is: (ax + b)(cx + d) = acx2 + adx + bcx + bd. A binomial raised to the nth power, represented as (a + b)n can be expanded by means of the binomial theorem or, equivalently, using Pascal's triangle. Taking a simple example, the perfect square binomial (p + q)2 can be found by squaring the first term, adding twice the product of the first and second terms and finally adding the square of the second term, to give p2 + 2pq + q2. A simple but interesting application of the cited binomial formula is the "(m,n)-formula" for generating Pythagorean triples: for m < n, let a = n2 ? m2, b = 2mn, c = n2 + m2, then a2 + b2 ... mehr

Binomial aus Wikipedia. Zum Beitrag