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Maths Gcse Edexcel Foundation

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Exam code:1MA1

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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