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0580/21 Oct/Nov 2022, Question 19: Further Expansion

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

Expand and simplify the product of (2x + 3) and (x − 2) squared, 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 − 2)² = x² − 4x + 4
  2. 2(2x + 3)(x² − 4x + 4) = 2x³ − 8x² + 8x + 3x² − 12x + 12
  3. 3= 2x³ − 5x² − 4x + 12

Answer2x³ − 5x² − 4x + 12

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Also searched as: 0580/21/O/N/22 · 0580_w22_qp_21 · 0580 w22 21 · question 19.
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