0580/22 Oct/Nov 2024, Question 11: Difference of Two Squares
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Factorise two algebraic expressions completely: 24x² − 9xy and 63x² − 28y².
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 2 marks
Factorise 24x² − 9xy fully.
- 1Common factor 3x
- 224x² − 9xy = 3x(8x − 3y)
Answer3x(8x − 3y)
Part (b) · 3 marks
Factorise 63x² − 28y² fully.
- 163x² − 28y² = 7(9x² − 4y²)
- 29x² − 4y² = (3x + 2y)(3x − 2y) (difference of two squares)
- 3= 7(3x + 2y)(3x − 2y)
Answer7(3x + 2y)(3x − 2y)
Stuck on a step? Read the free lesson: Difference of Two Squares
Practise more difference of two squares 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 difference of two squares
Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 11.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.