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.5 - Page 75: 94


$x^{1/4}(\sqrt x - 1)$

Work Step by Step

To simplify, factor the first term at the smallest exponent $x^{1/4}.$ This is the greatest common factor. So, $x^{3/4} - x^{1/4} = x^{1/4}. x^{1/2} - x^{1/4}$ Factor out the greatest common factor $=x^{1/4}( x^{1/2} - 1)$ $=x^{1/4}( \sqrt x - 1)$
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