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AlgebraStudy Notes

Worked Example: Double Brackets - Both Positive

Part of Expanding Brackets — GCSE Mathematics

This study notes covers Worked Example: Double Brackets - Both Positive within Expanding Brackets for GCSE Mathematics. Revise Expanding Brackets in Algebra for GCSE Mathematics with 14 exam-style questions and 3 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 11 of 12 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 11 of 12

Practice

14 questions

Recall

3 flashcards

Worked Example: Double Brackets - Both Positive

Expand: (x + 4)(x + 3)

F First × First

x × x = x²

O Outside

x × 3 = 3x

I Inside

4 × x = 4x

L Last × Last

4 × 3 = 12

Final Combine like terms

x² + 3x + 4x + 12

= x² + 7x + 12

Keep building this topic

Read this section alongside the surrounding pages in Expanding Brackets. That gives you the full topic sequence instead of a single isolated revision point.

Alternative: The Grid MethodWorked Example: Double Brackets - With NegativesWhat Does "Expand" Mean?The Key Rule

Practice Questions for Expanding Brackets

Which expression is equivalent to 3(x + 2)?

  • A. 3x + 2
  • B. x + 6
  • C. 3x + 6
  • D. 3x + 5
1 markfoundation

Expand -2(3x - 5)

2 marksfoundation

Quick Recall Flashcards

Sign Rules
Positive × Positive = Positive | Negative × Negative = Positive | Different signs = Negative
Expansion Rule
a(b + c) = ab + ac - multiply EVERY term inside by the term outside

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Alternative: The Grid Method

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Worked Example: Double Brackets - With Negatives