Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 7 - Section 7.6 - Radical Equations and Problem Solving - Vocabulary, Readiness & Video Check - Page 453: 4

Answer

$16-8\sqrt{7x}+7x$

Work Step by Step

Using $a+b=a^2+2ab+b^2$ (or the square of a binomial), the given expression, $ (4-\sqrt{7x})^2 ,$ is equivalent to \begin{array}{l}\require{cancel} (4)^2+2(4)(-\sqrt{7x})+(-\sqrt{7x})^2 \\\\= 16-8\sqrt{7x}+7x .\end{array}
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