This page details the more advanced use of binomial expansion. You should be familiar with all of the material from the more basic Binomial Expansion page.

In this explainer, we will learn how to use the binomial expansion to expand binomials with negative and fractional exponents.

17 окт. 2021 г. · How to use binomial expansion to expand expressions with negative and fractional powers for Year 2 A-Level Mathematics.

10 нояб. 2020 г. · Exam Questions – Binomial expansion for rational and negative powers · 1). View SolutionHelpful Tutorials · 2). Edexcel C4 June 2013 – Q2 · 3). OCR ...

11 окт. 2023 г. · The binomial theorem is simplified to open parentheses 1 plus x close parentheses to the power of n equals 1 plus nx plus fraction numerator n.

b) State the range of values of x for which the expansion of ( ) f x is valid. 13 16 140 1 3 3 27 f x x x x ≈ + + + .

Find the binomial expansion of f(x) in ascending powers of x, up to and including the term in x³. Give each coefficient as a simplified fraction. (Total 6 marks).

The binomial theorem for integer exponents can be generalized to fractional exponents. The associated Maclaurin series give rise to some interesting identities.

Maths revision video and notes on the binomial expansion for negative and fractional powers.

23 апр. 2020 г. · Comments45 ; Binomial Expansion 2 • (a+b)^n form • P2 Ex4B • 🎲. Bicen Maths · 18K views ; Binomial Expansion wilth fractional exponent | lesson 2.