Answer
See proof.
Work Step by Step
Take any odd integer, $2n+1$ where $n$ is an integer. This is the difference of $(n+1)^2$ and $n^2$. $(n+1)^2-n^2=n^2+2n+1-n^2=2n+1$. Thus, any odd integer is the difference of two squares.
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 1 - Section 1.7 - Introduction to Proofs - Exercises - Page 91: 7
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