Expanding-And-Simplifying-Single-Brackets Aqa Foundation

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Exam code:8300

Expanding one bracket

How do I expand a bracket?

The expression 3x (x + 2) means 3x multiplied by the bracket (x + 2)
- 3x is the term outside the bracket
  - this is sometimes called a factor
- and x + 2 are the terms inside the bracket
Expanding the brackets means multiplying the outside term by each term on the inside
- This will remove (get rid of) the brackets
- 3x (x + 2) expands to $3 x cross times x plus 3 x cross times 2$ which simplifies to $3 x squared plus 6 x$
Beware of minus signs
- Remember the rules
  − × − = +
  − × + = −
- It helps to put brackets around negative terms

Worked Example

(a) Expand $4 x open parentheses 2 x minus 3 close parentheses$ .

Multiply the $4 x$ term outside the brackets by both terms inside the brackets

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Maths Gcse Aqa Foundation

Expanding-And-Simplifying-Single-Brackets Aqa Foundation

Expanding one bracket

How do I expand a bracket?

Worked Example

Responses