Factorise an expression
- Find the highest common factor.
- Put it outside the bracket.
- Divide each term by it inside the bracket.
Answer: 4x + 8 = 4(x + 2)
𝑥 Algebra
Factorising
Learn factorising with a GCSE-style explanation, help guide, worked example, practice question and flashcards.
Global XP
Level 10 / 100 XP
1. Explanation
Key idea
- Factorising is part of algebra and appears often in KS3–GCSE maths.
- Factorising puts an expression into brackets.
- Use the worked model, help guide, interactive question and flashcards to practise factorising until the steps feel automatic.
Real-life examples
- Shopping, sport, travel, science, design and everyday decisions all use this skill.
2. Visual
Factorising learning map
Understand the key idea → follow the help guide → practise a question → check your method → build speed with flashcards.
3. Help guide
How to tackle Factorising
- Learn the rule: Factorising puts an expression into brackets.
- Worked model: Find the highest common factor. Put it outside the bracket. Divide each term by it inside the bracket.
- Try the interactive question without looking at the answer first.
- Use the flashcards to test the rule, the method and a common check.
4. Worked examples
Step-by-step working
5. Interactive questions
Try it yourself
Factorise 6x + 9.
6. Flashcards
Master quick recall
Flip each card, then choose whether you know it or need more practice.
0 mastered
FrontRule for Factorising
BackFactorising puts an expression into brackets.
FrontExample answer: Factorise 6x + 9.
BackThe highest common factor of 6x and 9 is 3, so 6x + 9 = 3(2x + 3).
FrontCommon check for Factorising
BackCheck units/notation, compare with an estimate, and make sure the answer matches the question.
7. Finish
Complete this topic
When you have read the examples, tried the question and reviewed flashcards, claim your topic completion XP.