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AlgebraStudy Notes

Worked Example 2: With Subtraction

Part of Expanding Brackets — GCSE Mathematics

This study notes covers Worked Example 2: With Subtraction 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 5 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 5 of 12

Practice

14 questions

Recall

3 flashcards

Worked Example 2: With Subtraction

Expand: 3(2x - 7)

Step 1 Multiply 3 by 2x

3 × 2x = 6x

Step 2 Multiply 3 by -7

3 × (-7) = -21

Remember: keep the negative sign!

Final Write the answer

3(2x - 7) = 6x - 21

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.

Worked Example 1: Basic ExpansionWorked Example 3: Negative OutsideWhat 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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Worked Example 1: Basic Expansion

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Worked Example 3: Negative Outside