## The Lesson

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. # 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

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.

## Lesson Slides

The slider below shows another real example of how to expand brackets. In this example, there are more than two terms inside the brackets. Open the slider in a new tab

## 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 = x2

## 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. Remember the rules for multiplying different signs: Same signs give a plus: Different signs give a minus: 