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0580/42 Oct/Nov 2025, Question 17: Further Expansion

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks

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The question, in short

Expand and simplify the product of three brackets (x − 2)(2x + 3)(x + 4).

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

Solution · 3 marks

  1. 1(x − 2)(2x + 3) = 2x² + 3x − 4x − 6 = 2x² − x − 6
  2. 2(2x² − x − 6)(x + 4) = 2x³ + 8x² − x² − 4x − 6x − 24
  3. 3= 2x³ + 7x² − 10x − 24

Answer2x³ + 7x² − 10x − 24

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Also searched as: 0580/42/O/N/25 · 0580_w25_qp_42 · 0580 w25 42 · question 17.
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