Prove that the difference between the squares of two consecutive odd numbers is a multiple of 8.

(2n+3)2-(2n+1)2=(4n2+12n+9)-(4n2+4n+1)=8n+8= 8(n+1)Hence a multiple of 8

DB
Answered by Daniel B. Maths tutor

31245 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Express 0.545454... as a fraction in its simplest form.


How can I solve reverse percentage questions?


Kevser buys 5kg of sweets for £10. She separates the sweets so that there are 250g of sweets in each bag. She sells each bag for 65p. She sells all bags. What is her percentage profit?


How do I find out the coordinates of the fourth point of a parallelogram knowing the first three?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning