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0580/22 Oct/Nov 2024, Question 21: Further Expansion

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks

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The question, in short

Expand and simplify the product of three brackets, (x + 3)(x + 5)(2x + 1), giving the final polynomial.

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

Solution · 3 marks

  1. 1(x + 3)(x + 5) = x² + 8x + 15
  2. 2(x² + 8x + 15)(2x + 1) = 2x³ + x² + 16x² + 8x + 30x + 15
  3. 3= 2x³ + 17x² + 38x + 15

Answer2x³ + 17x² + 38x + 15

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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 21.
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