Lemmara logoLemmaraWorked solution

0580/22 May/Jun 2026, Question 19: Expanding triple brackets

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Expand (3x + 1)(x + 4)(x − 2) and simplify.

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

Solution · 3 marks

  1. 1(x + 4)(x − 2) = x² + 2x − 8
  2. 2(3x + 1)(x² + 2x − 8) = 3x³ + 6x² − 24x + x² + 2x − 8
  3. 3= 3x³ + 7x² − 22x − 8

Answer3x³ + 7x² − 22x − 8

Stuck on a step? Read the free lesson: Further Expansion

Practise more expanding triple brackets 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 expanding triple brackets

Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 19.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.