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0580/43 May/Jun 2025, Question 8: Simple Factorising

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 4 marks

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The question, in short

Factorise two algebraic expressions: 28xy − 12x and y − 6x + 2xy − 3.

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Part (a) · 2 marks

Factorise 28xy − 12x fully.

  1. 1HCF of 28xy and 12x is 4x
  2. 228xy − 12x = 4x(7y − 3)

Answer4x(7y − 3)

Part (b) · 2 marks

Factorise y − 6x + 2xy − 3 by grouping terms.

  1. 1y − 6x + 2xy − 3 = 2xy − 6x + y − 3
  2. 2= 2x(y − 3) + 1(y − 3)
  3. 3= (2x + 1)(y − 3)

Answer(2x + 1)(y − 3)

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Also searched as: 0580/43/M/J/25 · 0580_s25_qp_43 · 0580 s25 43 · question 8.
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