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: 76

Answer

$\frac{(4x+5)(x+4)}{(x+2)(x-1)} ; x \ne -2,1;$

Work Step by Step

$(4 - \frac{3}{x+2})(1 + \frac{5}{x-1})$ $= (\frac{4(x+2)-3}{x+2})(\frac{x-1+5}{x-1}) ; x \ne -2,1;$ $= (\frac{4x+8-3}{x+2})(\frac{x-1+5}{x-1}) ; x \ne -2,1;$ $= (\frac{4x+5}{x+2})(\frac{x+4}{x-1}) ; x \ne -2,1;$ $= \frac{(4x+5)(x+4)}{(x+2)(x-1)} ; x \ne -2,1;$
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