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0580/42 May/Jun 2025, Question 14: Factorising by Grouping

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 2 marks

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The question, in short

Factorise the four-term expression 5x − 10 − ax + 2a, grouping terms to extract a common bracket.

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

Solution · 2 marks

  1. 15x − 10 − ax + 2a = 5(x − 2) − a(x − 2)
  2. 2= (x − 2)(5 − a)

Answer(x − 2)(5 − a)

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