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0580/23 May/Jun 2022, Question 13: Simple Factorising

Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 4 marks

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The question, in short

Factorise two algebraic expressions completely: 18px − 27p, and mt − n − m + nt.

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

Part (a) · 2 marks

Factorise 18px − 27p fully by taking out the highest common factor.

  1. 1HCF of 18px and 27p is 9p
  2. 218px − 27p = 9p(2x − 3)

Answer9p(2x − 3)

Part (b) · 2 marks

Factorise mt − n − m + nt completely, grouping terms to reveal a common bracket.

  1. 1mt − n − m + nt = m(t − 1) + n(t − 1)
  2. 2= (m + n)(t − 1)

Answer(m + n)(t − 1)

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Also searched as: 0580/23/M/J/22 · 0580_s22_qp_23 · 0580 s22 23 · question 13.
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