MathsYears 8–9Algebra

Factorising expressions

Factorise by taking out common factors from algebraic expressions

What you'll learn

  1. 1

    Imagine 12 biscuits on a tray. You can split them into equal groups — 3 groups of 4, or 2 groups of 6. Those numbers that multiply to make 12 are its factors! 🍪

  2. 2

    Which pair of numbers multiply to make 12? 🍪

  3. 3

    Show 3 rows of 4 biscuits to see the factors of 12. 🍪

  4. 4

    Let's factorise 6x + 9 together. That means we find the biggest number that divides both parts. 📝

  5. 5

    Now factorise 4x + 8 by dragging the common factor outside the brackets. 🎯

  6. 6

    What is the common factor of 6x and 15? ❓

  7. 7

    Factorise 8x + 12 — what goes outside the brackets? ✅

Practise Factorising expressions with Whizlo

Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 12–14. Aligned to the UK National Curriculum.