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Maths Quiz - Algebra 02 (F) (Questions)

Learn to expand brackets in GCSE Maths. Multiply each term inside by the number or letter outside, then simplify to tidy expressions and spot like terms.

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Fascinating Fact:

Print shop charges 12 per hoodie plus 3 per name. For n hoodies, cost is n(12 + 3) = 15n. Expand to see per item cost clearly.

In GCSE Maths (Foundation), expanding brackets turns expressions like a(b + c) into ab + ac. This skill simplifies algebra and prepares you for solving equations confidently.

  • Expand: Multiply the bracket by the term outside to remove the bracket.
  • Bracket: A grouping symbol, for example (x + 4), used to show terms kept together.
  • Coefficient: The number multiplying a variable, such as 7 in 7x.
How do you expand brackets in GCSE Maths?

Multiply each term inside the bracket by the term outside. For example, 3(x + 5) becomes 3x + 15. Then collect like terms if needed.

How do I expand when there are negatives?

Distribute the sign carefully. For example, −2(x − 4) = −2x + 8 because −2 × −4 is +8.

What is expanding double brackets?

Multiply each term in the first bracket by each term in the second. For example, (x + 2)(x + 5) = x2 + 7x + 10.

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You can find more about this topic by visiting BBC Bitesize - Algebra

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Maths Quiz - Algebra 02 (F) (Answers)
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