# How to Expand Brackets

## Expanding Brackets

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.

## 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.