## 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.

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