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
- 3x is the term outside 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 which simplifies to
- Beware of minus signs
- Remember the rules
− × − = +
− × + = − - It helps to put brackets around negative terms
- Remember the rules
Worked example
Multiply the term outside the brackets by both terms inside the brackets
Simplify
Multiply the outside the brackets by both terms inside the brackets
Simplify and remember that multiplying two negatives gives a positive