0580/22 May/Jun 2021, Question 22: 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 (2x² − 5x − 12)/(3x² − 12x), showing factorisation of numerator and denominator.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 4 marks
- 12x² − 5x − 12 = (x − 4)(2x + 3)
- 23x² − 12x = 3x(x − 4)
- 3(x − 4)(2x + 3)/(3x(x − 4))
- 4= (2x + 3)/(3x)
Answer(2x + 3)/(3x)
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/M/J/21 · 0580_s21_qp_22 · 0580 s21 22 · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.