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0580/22 Oct/Nov 2021, 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 (x − 3)² and (2x + 5).

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

Solution · 3 marks

  1. 1(x − 3)² = x² − 6x + 9
  2. 2(x² − 6x + 9)(2x + 5) = 2x³ + 5x² − 12x² − 30x + 18x + 45
  3. 3= 2x³ − 7x² − 12x + 45

Answer2x³ − 7x² − 12x + 45

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Also searched as: 0580/22/O/N/21 · 0580_w21_qp_22 · 0580 w21 22 · question 21.
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