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## 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

n/a

## 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 you help

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