Paper 1 · Algebra Lesson 3 of 23

Algebra 3 – Factorising the sum of two cubes and difference of two cubes

You’ll learn

  • Factorise a sum of cubes: a³ + b³ = (a + b)(a² − ab + b²)
  • Factorise a difference of cubes: a³ − b³ = (a − b)(a² + ab + b²)
  • Recognise the perfect cubes 1, 8, 27, …, 1000 on sight
  • Pull out a common factor first to reveal a hidden cube structure
Open the worked PDF

💬 Stuck on something in this lesson?

Send your question with this lesson’s name attached — you’ll get a reply by email.