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Algebra 02 (F)

Having a good grasp of numbers is important in life!

Algebra 02 (F)

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.

Key Terms

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.

Frequently Asked Questions (Click to see answers)

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

Author: Sally Thompson (MSc Operational Research, Secondary Maths Teacher & Quiz Writer)

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