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0580/11 May/Jun 2025, Question 16: Expand and Simplify

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

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The question, in short

Simplify an algebraic expression by collecting like terms, then factorise two expressions fully.

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

Part (a) · 2 marks

Simplify 6a + 4b − a − 5b by collecting like terms.

  1. 16a − a = 5a, 4b − 5b = −b
  2. 2= 5a − b

Answer5a − b

Part (bi) · 1 mark

Factorise 6x + 15y fully.

  1. 1HCF of 6 and 15 is 3: 3(2x + 5y)

Answer3(2x + 5y)

Part (bii) · 2 marks

Factorise x²y − 5xy fully.

  1. 1Common factor xy
  2. 2x²y − 5xy = xy(x − 5)

Answerxy(x − 5)

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Also searched as: 0580/11/M/J/25 · 0580_s25_qp_11 · 0580 s25 11 · question 16.
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