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4024/23 May/Jun 2025, Question 14: Simple Factorising

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 4 marks

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The question, in short

Factorise two algebraic expressions: 5x² + 15xy, and 2ax + 4bx − 3ay − 6by.

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Part (a) · 2 marks

Factorise 5x² + 15xy by taking out the highest common factor.

  1. 1Common factor 5x
  2. 25x² + 15xy = 5x(x + 3y)

Answer5x(x + 3y)

Part (b) · 2 marks

Factorise 2ax + 4bx − 3ay − 6by, grouping terms to find a common bracket.

  1. 1= a(2x − 3y) + 2b(2x − 3y)
  2. 2= (2x − 3y)(a + 2b)

Answer(2x − 3y)(a + 2b) or (3y − 2x)(−a − 2b)

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Also searched as: 4024/23/M/J/25 · 4024_s25_qp_23 · 4024 s25 23 · question 14.
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