MathsYears 8–9Algebra
Factorising expressions
Factorise by taking out common factors from algebraic expressions
What you'll learn
- 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
Which pair of numbers multiply to make 12? 🍪
- 3
Show 3 rows of 4 biscuits to see the factors of 12. 🍪
- 4
Let's factorise 6x + 9 together. That means we find the biggest number that divides both parts. 📝
- 5
Now factorise 4x + 8 by dragging the common factor outside the brackets. 🎯
- 6
What is the common factor of 6x and 15? ❓
- 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.