Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 10 - Exponents and Radicals - Test: Chapter 10: 17

Answer

$14-19\sqrt{x}-3x$

Work Step by Step

Using the FOIL Method which is given by $(a+b)(c+d)=ac+ad+bc+bd,$ the given expression is equivalent to\begin{array}{l}\require{cancel} (7+\sqrt{x})(2-3\sqrt{x}) \\\\= 7(2)+7(-3\sqrt{x})+\sqrt{x}(2)+\sqrt{x}(-3\sqrt{x}) \\\\= 14-21\sqrt{x}+2\sqrt{x}-3(\sqrt{x})^2 \\\\= 14-21\sqrt{x}+2\sqrt{x}-3x \\\\= 14-19\sqrt{x}-3x .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.