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4MA1/1H Jun 2021, 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 the product 4x(3x + 1)(2x − 3), showing clear working.

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

Solution · 3 marks

  1. 1(3x + 1)(2x − 3) = 6x² − 9x + 2x − 3 = 6x² − 7x − 3
  2. 2Multiply every term by 4x: 4x(6x² − 7x − 3)
  3. 324x³ − 28x² − 12x

Answer24x³ − 28x² − 12x

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