Worked Example: Double Brackets - Both Positive

Part of Expanding Brackets · Section 11 of 13

Study NotesUnit: AlgebraGCSE

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 13 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and 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

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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