Skip to content

A NSW Government website

Welcome to the NSW Curriculum website

NSW Curriculum
NSW Education Standards Authority

11–12Mathematics Extension 1 11–12 Syllabus

Record of changes
Implementation from 2026
Expand for detailed implementation advice

Content

Year 11

The binomial theorem
  • Recognise that a binomial is an expression with two terms, and that a binomial expansion is an expansion of a power of a binomial

  • Use the binomial theorem to determine the coefficient of a term with a specific power or the constant term in a binomial expansion

  • Prove identities involving binomial coefficients in binomial expansions by substituting values, comparing coefficients or applying a combinatorial argument to a specified context

  • Apply given or proven identities involving binomial coefficients to prove further identities, without the use of calculus

Related files