0580/22 Oct/Nov 2023, Question 24: Algebraic Fractions
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Simplify the algebraic fraction (ax − 2a − x + 2) divided by (a² − 1).
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 1ax − 2a − x + 2 = a(x − 2) − (x − 2) = (a − 1)(x − 2)
- 2a² − 1 = (a − 1)(a + 1)
- 3(a − 1)(x − 2)/((a − 1)(a + 1)) = (x − 2)/(a + 1)
Answer(x − 2)/(a + 1)
Stuck on a step? Read the free lesson: Algebraic Fractions
Practise more algebraic fractions questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on algebraic fractions
Also searched as: 0580/22/O/N/23 · 0580_w23_qp_22 · 0580 w23 22 · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.