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 87: 63

Answer

$\frac{1}{xy}; x\ne 0, -y;$

Work Step by Step

$\frac{\frac{1}{x}+\frac{1}{y}}{x+y}$ $= \frac{\frac{y+x}{xy}}{x+y}; x\ne 0, -y;$ $= \frac{\frac{x+y}{xy}}{x+y} ; x\ne 0, -y;$ $ = \frac{x+y}{xy} \times \frac{1}{x+y } ; x\ne 0, -y;$ $ = \frac{1}{xy}; x\ne 0, -y;$
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