Answer
$\sqrt{x^2-1}$.
Work Step by Step
The given expression is
$=\sqrt{x+1}\cdot \sqrt {x-1}$
Use the product rule.
$=\sqrt{(x+1)\cdot (x-1)}$
Use the special formula $(A+B)(A-B)=A^2-B^2$.
$=\sqrt{x^2-1^2}$
Simplify.
$=\sqrt{x^2-1}$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Review Exercises - Page 577: 43
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