4024/12 Oct/Nov 2022, Question 25: Algebraic Fractions
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Simplify the algebraic fraction (x² − 4x)/(x² − x − 12), showing the factorisation needed to cancel common factors.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1x² − 4x = x(x − 4)
- 2x² − x − 12 = (x − 4)(x + 3)
- 3x(x − 4)/((x − 4)(x + 3)) = x/(x + 3)
Answerx/(x + 3)
Stuck on a step? Read the free lesson: Algebraic Fractions
Practise more algebraic fractions questions
Real 4024 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: 4024/12/O/N/22 · 4024_w22_qp_12 · 4024 w22 12 · question 25.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.