Binomial series expansion. Understand the binomial expansion formula with derivation, examples, and FAQs. Learn how to expand a binomial by a given power using the binomial series, a special type of Maclaurin series. Even more confusingly a number of these (and other) related results are variously known as the binomial formula, binomial expansion, and binomial identity, and the identity itself is sometimes simply called the "binomial series" rather than "binomial theorem. This is simply the expansion of the expression \ ( (a + b)^p\) in powers of \ (a\) and \ (b\). It covers the use of Taylor series in … See full list on mathsathome. It covers the use of Taylor series in … NOTE (1): This is an infinite series, where the binomial theorem deals with a finite expansion. Another series expansion which occurs often in examples and applications is the binomial expansion. The most general is (x+a)^nu=sum_(k=0)^infty(nu; k)x^ka^(nu-k), (1) where (nu; k) is a binomial coefficient and nu is a real number. Binomial Theorem - HyperPhysics Exponents The binomial expansion formulas are used to find the expansions when the binomials are raised to natural numbers (or) rational numbers. 1994, p. rm6z iojv mnl6p gub s4e fmcwhr j9hiwrv jjm sbwaw fol