Cambridge O Level Additional Mathematics · Syllabus 4037 · Series
Binomial Theorem
What is Binomial Theorem?
A rule that expands a bracket of the form (a + b) raised to a positive whole-number power n into a sum of n + 1 terms. The term for index r is the binomial coefficient n choose r multiplied by a to the power n minus r and b to the power r, so the power of the first quantity falls from n to 0 while the power of the second rises from 0 to n, and the two powers add to n in every term.
This definition is part of the Series chapter in Cambridge O Level Additional Mathematics.
Last reviewed Syllabus 2025-2027