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4MA1/1H Jan 2023, Question 13: Further Expansion

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 3 marks

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The question, in short

Expand and simplify 3x(2x − 5)², showing clear algebraic working.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 1(2x − 5)² = (2x − 5)(2x − 5) = 4x² − 10x − 10x + 25
  2. 2Simplify: 4x² − 20x + 25
  3. 3Multiply by 3x: 3x(4x² − 20x + 25)
  4. 4= 12x³ − 60x² + 75x

Answer12x³ − 60x² + 75x

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