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Free Binomial Expansion Calculator - Expand binomials using the binomial expansion method step-by-step
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The binomial theorem describes the algebraic expansion of powers of a binomial. Get the free "Binomial Expansion Calculator" widget for your website, blog, Wordpress, Blogger, or iGoogle.
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- The Binomial Expansion of Order N
- Pascal's Triangle For A Binomial Expansion Calculator Negative Power
- A Binomial Expansion Calculator Negative Powers
- Binomial Coefficients
- Other Interesting Discrete Distributions
Using diverse approaches, the formula for a binomial expansion has been found, and it is as shown below where the term (nk)\dbinom{n}{k}(kn)computed is: This term (nk)\dbinom{n}{k}(kn) is commonly known as the kh binomial coefficient of a binomial expansion of order nnn. As we can see, a binomial expansion of order nnn has n+1n+1n+1 terms, when n...
One very clever and easy way to compute the coefficients of a binomial expansion is to use a triangle that starts with "1" at the top, then "1" and "1" at the second row. Then, from the third row and on take "1" and "1" at the beginning and end of the row, and the rest of coefficients can be found by adding the two elements above it, in the row imm...
So far we have considered the order nnn to be a positive integer, but there is also an expansion when nnnis negative, only that is not necessarily finite, and it will involve an infinite number of terms in the general case.
Instead of computing the whole expansion, use this binomial coefficient calculatorto get a specific term of the expansion.
The binomial distribution is not the only commonly used discrete distribution. We also have Poisson distribution, which is as much as commonly is as the binomial. You can use this Poisson calculator to compute Poisson probabilities for any event of interest.
binomial expansion. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….
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