Grade 10 · 82 pages · PDF

Expanding Brackets

Clear, exam-focused notes on expanding single, double and triple brackets, including perfect squares and difference of two squares, with fully worked examples.

A complete 20-page IGCSE guide to expanding brackets. It starts with single brackets, including negative and algebraic multipliers. It then covers double brackets using FOIL and the grid method, and moves on to the special cases of perfect squares and the difference of two squares. Later sections cover expanding three brackets and simplifying longer expressions. These skills are then applied to area problems, “show that” proofs and forming quadratic equations. Every method comes with fully worked examples and common mistakes to avoid. It ends with a summary, an error checklist and exam tips.

What's in the pack

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• Cheatsheet · 1 page

  Cheatsheet

  The whole topic on a page or two, for the night before.

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• Main Notes · 21 pages

  Main Notes

  The full notes: one idea per page, a worked example beside every rule.

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• Worksheet · 34 pages

  Worksheet

  Practice questions in the order the notes teach them.

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• Solutions · 26 pages

  Solutions

  Every worksheet question worked in full.

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Topics covered

• Expanding a single bracket
• Negative and algebraic terms outside the bracket
• Expanding and simplifying
• Expanding double brackets (FOIL)
• The grid method
• Perfect square expansions
• Difference of two squares
• Expanding three brackets and cubes
• Simplifying complex expressions
• Area problems
• Algebraic proof and “show that” questions
• Forming and solving equations

Format

Print-ready PDF

Items

4

Delivery

By email