Lemmara logoLemmaraWorked solution

0580/32 Feb/Mar 2025, Question 14: Simple Factorising

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 4 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Factorise the expression 8x² − 2x, then expand and simplify 5(2m − 1) + 3(m + 7).

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

Part (a) · 2 marks

Factorise 8x² − 2x fully.

  1. 1Common factor 2x
  2. 28x² − 2x = 2x(4x − 1)

Answer2x(4x − 1)

Part (b) · 2 marks

Expand 5(2m − 1) + 3(m + 7) and simplify the result.

  1. 15(2m − 1) = 10m − 5 and 3(m + 7) = 3m + 21
  2. 210m − 5 + 3m + 21 = 13m + 16

Answer13m + 16

Stuck on a step? Read the free lesson: Simple Factorising

Practise more simple factorising questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on simple factorising

Also searched as: 0580/32/F/M/25 · 0580_m25_qp_32 · 0580 m25 32 · question 14.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.