Expanding brackets means multiplying terms to remove brackets from an expression.
Imagine we wanted to remove the brackets from the expression below. We have to expand the brackets.
Please tell us using

## How to Expand Brackets

Expanding brackets is easy. Multiply each term inside the brackets with the term outside of the bracket.## Question

Expand the brackets below.## Step-by-Step:

## 1

Multiply the

**first**term inside the brackets (x) with the term outside the brackets (2).*2 × x = 2x*

**2x**

## 2

Multiply the

**second**term inside the brackets (1) with the term outside the brackets (2), and add to the previous result.*2 × 1 = 2*

2x **+ 2**

## Answer:

Expanding**2(x + 1)**gives**2x + 2**.## A Formula to Expand Brackets

The formula below shows how to expand brackets:**a**,**b**and**c**stand in for any number or term.## Multiplication Tips

- Multiplying a number with a variable
2 × x = 2x

5 × x = 5x

- Multiplying a number with a variable with a coefficient
2 × 2x = 4x

3 × 5x = 15x

- Multiplying a variable with a variable
x × y = xy

x × x = x

^{2}

## Beware

## Be Careful with Signs

Each term in the brackets will have a sign.**positive**terms have a**+**sign in front of them,*or*no sign if it is the first term.**negative**terms have a**−**sign in front of them.

## You might also like...

algebra curriculumcollecting like termsexpanding brackets using the grid methodexpanding double brackets

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.