0580/22 Oct/Nov 2025, Question 15: Factorising by Grouping
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks
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The question, in short
Factorise two algebraic expressions: a difference of two squares, and an expression with a repeated bracket factor.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Factorise x² − 64.
- 1x² − 64 = x² − 8² (difference of two squares)
- 2= (x + 8)(x − 8)
Answer(x + 8)(x − 8)
Part (b) · 2 marks
Factorise 5x(x − 2y) + 6(x − 2y)².
- 1Common factor (x − 2y): (x − 2y)(5x + 6(x − 2y))
- 2= (x − 2y)(5x + 6x − 12y) = (x − 2y)(11x − 12y)
Answer(x − 2y)(11x − 12y)
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Also searched as: 0580/22/O/N/25 · 0580_w25_qp_22 · 0580 w25 22 · question 15.
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