Prove that the square of an odd number is always 1 more than a multiple of 4

(2x-1)2 = 4x2- 4x + 1= 4(x2-x)+1The part of the expression which is: 4(x2-x) indicates that the value is a multiple of 4. The number 1 is then added which means that the statement 'the square of an odd number is always 1 more than a multiple of 4' is correct.

Answered by Gokul P. Maths tutor

2800 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Fully simplify this equation; 3x^3 - x(3x+36) = 0


How to solve the following for x: (2x+3)/(x-4) - (2x-8)(2x+1) = 1


What is the probability that the next baby born in England will be a boy?


If f(x) = x^2, draw the graph of y = f(x) + 3


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences