Answer
$-41$
Work Step by Step
RECALL:
$(a-b)(a+b)=a^2-b^2$
Use the formula above with $a=3$ and $b=5\sqrt{2}$ to obtain:
$=3^2- (5\sqrt{2})^2
\\=9-5^2(2)
\\=9-25(2)
\\=9-50
\\=-41$
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 - Section 7.5 - Multiplying with More Than One Term and Rationalizing Denominators - Exercise Set - Page 550: 30
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