Chapter 5.4, Problem 35E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# If a = p 2 − q 2 , b = 2 p q and c = p 2 + q 2 , show that c 2 = a 2 + b 2 .

To determine

To prove:

c2=a2+b2 if a=p2q2,b=2pq and c=p2+q2.

Explanation

Given a=p2âˆ’q2,b=2pq and c=p2+q2, show that c2=a2+b2.

c2=(p2+q2)2c2=p4+q4+2p2q2Â Â â€‰..

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