What is the binomial theorem and why is it true?

The binomial theorem is an algebraic formula for the expansion of powers of an expression with two terms (a binomial). For example, we can use it to calculate the polynomial expansion of, say, (1+x)^n for any value of n. The theorem states that (a+b)^n = (involving binomial coefficients).

This formula can be derived by thinking about what the binomial coefficients actually represent. The binomial coefficient nCr represents the number of ways of picking r terms from a total of n terms. .

Sample questions involving this formula might include:

-Write a full polynomial expansion for (2+3x)3

-Find the coefficient of x4 in (x-1)7

Answered by Jacob C. Maths tutor

3049 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express 9^3x + 1 in the form3^y ?


What's the point of writing my mathematics well if I don't get extra marks for it?


solve the following definite integral by decomposition into partial fractions: \int_{1}^{2}{\frac{1}{x^2+x}}dx


Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences