Answer
$h^{2}$
Work Step by Step
Change square roots to exponents:
$((h^{2}+1)^{1/2}+1)((h^{2}+1)^{1/2}-1)$
Multiply:
$(h^{2}+1)^{2/2}-1$
Simplify:
$h^{2}+1-1$
$h^{2}$
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 1 - Section 1.3 - Algebraic Expressions - 1.3 Exercises - Page 34: 58
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