# Factorise Simple Algebraic Expressions

In this worksheet, students will factorise simple algebraic expressions.

Key stage:  KS 3

Curriculum topic:   Algebra

Curriculum subtopic:   Understand Expressions, Equations, Inequalities, Terms and Factors

Popular topics:   Factors worksheets

Difficulty level:

#### Worksheet Overview

Factorising is the reverse of multiplying out brackets.

We put an expression into brackets by taking out the highest common factor (HCF) of each term in the expression.

To work out what goes inside the brackets, we divide each term by this HCF.

Example

Factorise fully 10x - 15 + 25y

The HCF of 10x and 15 and 25y is 5.

So we take 5 outside the brackets and divide each term by 5 to work out what goes inside the brackets.

The answer is 5(2x - 3 + 5y)

We can do it backwards to check that it works:

5 x 2x = 10x

5 x -3 = -15

5 x 5y = 25y

Put them together to get 10x - 15 + 25y, so it works!!

Let's have a go at some questions.

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