Answer
$a-b^{2}$
Work Step by Step
Change square roots into exponents:
$(a^{1/2}-b)(a^{1/2}+b)$
Use the rule $(A+B)(A-B)=A^{2}-B^{2}$ to multiply.
$a^{1/2}a^{1/2}-b^{2}$
Simplify:
$a-b^{2}$
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: 57
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