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binomial theorem

Also known as Al-Karaji-newton theorem

algebraic expansion of powers of a binomial

AI overview

The binomial theorem is a mathematical formula that tells you how to expand expressions like (a + b)^n into a sum of simpler terms without having to multiply them out manually. It matters because it's a foundational tool in algebra and higher mathematics that saves time in calculations and helps solve problems in probability, statistics, and many other fields.

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Image: Binomial expansion visualisation.svg

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Stack Exchange tag: stackoverflow.com/tags/binomial-theorem
Commons category: Binomial theorem

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Article

In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, the power ⁠

( x + y