4024/11 May/Jun 2020, Question 7: Factorising by Grouping
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Factorise two algebraic expressions: a two-term expression in c, and a four-term expression in a, b, x and y.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Factorise 6c³ + 9c by taking out the highest common factor.
- 1HCF of 6c³ and 9c is 3c
- 26c³ + 9c = 3c(2c² + 3)
Answer3c(2c² + 3)
Part (b) · 2 marks
Factorise 5ay − 2bx − 2by + 5ax by grouping the terms.
- 15ay + 5ax − 2bx − 2by
- 2= 5a(x + y) − 2b(x + y)
- 3= (5a − 2b)(x + y)
Answer(5a − 2b)(x + y)
Stuck on a step? Read the free lesson: Factorising by Grouping
Practise more factorising by grouping 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 factorising by grouping
Also searched as: 4024/11/M/J/20 · 4024_s20_qp_11 · 4024 s20 11 · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.