Proof calculation help

  • #1

Homework Statement

Prove algebraically that the sum of the squares of any two odd numbers leaves a remainder of 2 when divided by 4.

Homework Equations


The Attempt at a Solution

not really sure what to do so excuse my bad attempt

where n is an integer:

(1^2 + 1^2)/4 = n + 2

thnx for ya help

as per rules, please only give one step away at a time and explain please :D thnx

Answers and Replies

  • #2
Science Advisor
Homework Helper
Can you write me a formula for the nth odd number?
  • #3
You need to replace those 1's with the general form of an odd number. Put all odd numbers in terms of all whole numbers and do the binomial expansion
  • #4
oops yeh i found out i shoulda done 2n-1 lol

silly me, soz