Answer
$a^2 = c^2 − b^2 = (c − b)(c + b)$
Work Step by Step
For all prime numbers a, b, and c, $a^2 + b^2 \ne c^2$.
it contradicts as
$a^2 = c^2 − b^2 = (c − b)(c + b)$
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
Published by
Cengage Learning
ISBN 10:
0-49539-132-8
ISBN 13:
978-0-49539-132-6
Chapter 4 - Elementary Number Theory and Methods of Proof - Exercise Set 4.6 - Page 206: 14
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