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

3046 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Given that x=3 is a solution to f(x)= 2x^3 - 8x^2 + 7x - 3 = 0, solve f(x)=0 completely.


g(x) = x/(x+3) + 3(2x+1)/(x^2 +x - 6) a)Show that g(x) =(x+1)/(x-2), x>3 b)Find the range of g c)Find the exact value of a for which g(a)=g^(-1)(a).


simplify (3x^2 - x - 2) / (x^2 - 1)


How do I show that (cos^4x - sin^4x) / cos^2x = 1 - tan^2x


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