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0580/21 May/Jun 2025, Question 16: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Non-calculator · 3 marks

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The question, in short

Expand and simplify the product of three brackets (x + 4)(x − 3)(3x + 2), giving the result as a simplified polynomial.

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

Solution · 3 marks

  1. 1(x + 4)(x − 3) = x² + x − 12
  2. 2(x² + x − 12)(3x + 2) = 3x³ + 2x² + 3x² + 2x − 36x − 24
  3. 3= 3x³ + 5x² − 34x − 24

Answer3x³ + 5x² − 34x − 24

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Also searched as: 0580/21/M/J/25 · 0580_s25_qp_21 · 0580 s25 21 · question 16.
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