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

29534 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve the following quadratic simultaneous equation: y = x + 4 and y = x^2 + 4x


If (2/3)^n=〖(3/2)〗^2 what is the value of n


Matt has 3 piles of coins, A , B and C. Altogether there was 72p. Pile B had twice as much as pile A. Pile C had three times as much as pile B. How much money was in Pile C?


Calculate the length of the hypotenuse of a right-angled triangle when the other two sides measure 6cm and 9cm.


We're here to help

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

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences