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Factorise Into a Single Bracket

In this worksheet, students will factorise expressions into a single bracket using letters or numbers as common factors.

'Factorise Into a Single Bracket' worksheet

Key stage:  KS 4

Year:  GCSE

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic:   Algebra

Curriculum subtopic:   Notation, Vocabulary and Manipulation Algebraic Expressions

Difficulty level:  

Worksheet Overview

Sometimes the common factor that you need to factorise an expression is not a number, but a letter.

Look for the highest power of each letter that will go into every term of the expression.

This will be your common factor to put outside the bracket.



Have a look at this example to see this in action.


e.g. Factorise 3a3 + 2ab.


There is no number which is a common factor of 2 and 3.

The common letter in both terms is a.

The highest power of a that goes into both terms is 1, so the common factor is a.

This means we need to put a outside of the bracket:

a(__ _ __)

But what goes inside?


We need to divide both terms by a to calculate this. 

3a3 ÷ a = 3a2

2ab ÷ a = 2b


So our final answer is: a(3a² + 2b)




In this activity, we will factorise expressions into a single bracket using letters or numbers as common factors. 

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