Answer
$30$
Work Step by Step
RECALL:
$(a+b)(a-b)=a^2-b^2$
Use the formula above with $a=4\sqrt3$ and $b=3\sqrt{2}$ to obtain:
$=(4\sqrt{3})^2- (3\sqrt{2})^2
\\=4^2(3) -3^2(2)
\\=16(3)-9(2)
\\=48-18
\\=30$
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: 32
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