Loading please wait

The smart way to improve grades

Comprehensive & curriculum aligned

Try an activity or get started for free

Expand Products of Two Binomials

In this worksheet, students will use the grid method to expand double brackets then simplify answers.

'Expand Products of Two Binomials' worksheet

Key stage:  KS 4

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

QUESTION 1 of 10

Expanding double brackets can be achieved using a variety of methods.

 

In this activity, we will focus on the grid method.

 

 

Let's take a look at an example.

 

e.g. Expand (x + 3)(x + 2).

 

First, we will set up a table like the one below:

See how the first bracket is on the top and the second bracket on the side?

 

Now we are going to multiply the first term on the left by both terms on the top row, then repeat with the second term on the left:

 

We need to make sure that our signs are correct here.

A positive number multiplied by another positive gives a positive outcome.

A negative number multiplied by another negative also gives a positive outcome.

But a negative number multiplied by a positive always gives a negative outcome. 

 

Now take all the terms we've just placed in a table and simplify as much as possible:

x² + 3x + 2x + 6 = x² + 5x + 6

 

So in summary, (x + 3)(x + 2) = x² + 5x + 6

 

 

 

In this activity, we will practise expanding double brackets using the grid method described above and then simplifying our answers. 

You may want to have a pen and paper to hand so that you can draw out your own grids. 

---- OR ----

Get started for free so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started
laptop

Try an activity or get started for free

  • educational
  • bettfutures
  • cxa
  • pta
  • era2016
  • BDA award
  • Explore LearningTuition Partner
  • tacm