Intermediate Algebra (6th Edition)

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

Chapter 6 - Section 6.2 - Adding and Subtracting Rational Expressions - Exercise Set: 98

Answer

$P=(2x+3) \text{ } $

Work Step by Step

Adding all the sides of the given quadrilateral, then the perimeter is \begin{array}{l}\require{cancel} P=\dfrac{5}{x-1}+\dfrac{3x}{x-1}+\dfrac{x^2-8}{x-1}+\dfrac{x^2-2x}{x-1} \\\\ P=\dfrac{5+3x+x^2-8+x^2-2x}{x-1} \\\\ P=\dfrac{(x^2+x^2)+(3x-2x)+(5-8)}{x-1} \\\\ P=\dfrac{2x^2+x-3}{x-1} \\\\ P=\dfrac{(2x+3)(x-1)}{x-1} \\\\ P=\dfrac{(2x+3)(\cancel{x-1})}{\cancel{x-1}} \\\\ P=(2x+3) \text{ } .\end{array}
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