Binomial theorem

The binomial theorem is a way of expanding brackets of the form (a+b)^n fully (binomial expansion), without having to multiply it out by hand.

The binomial theorem states that:

(a+b)^n = a^n + \binom{n}{1} a^{n-1}b + \cdots + \binom nr a^{n-r}b^r + \cdots + \binom{n}{n-1} ab^{n-1} + b^n

It’s basically just a way of writing the full expansion of a binomial expression as a formula. You already know all this from the previous articles!

flashcards

QuestionAnswer
What is the binomial theorem used for?The binomial theorem is a way of expanding brackets of the form (a+b)^n fully (binomial expansion), without having to multiply it out by hand.