College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.6 - Page 88: 102

Answer

False $\frac{x^{2}-25}{x-5} = x+5; x \ne 5;$

Work Step by Step

$\frac{x^{2}-25}{x-5} $ $[A^{2}-B^{2} = (A+B)(A-B)]$ $[x^{2}-25 = x^{2} - 5^{2} =(x+5)(x-5]$ $= \frac{(x+5)(x-5)}{(x-5)}; x \ne 5;$ Divide out common factors. $= x+5; x \ne 5;$
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