Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.5 - Rational Expressions - Exercises - Page 49: 57

Answer

$\frac{2x^2(x-1)-5}{(x-1)^{\frac{1}{2}}}=\frac{2x^3-2x^2-5}{(x-1)^{\frac{1}{2}}}$

Work Step by Step

$2x^2(x-1)^{\frac{1}{2}}-5(x-1)^{-\frac{1}{2}}=(x-1)^{-\frac{1}{2}}[2x^2(x-1)^{\frac{1}{2}-(-\frac{1}{2})}-5]=\frac{2x^2(x-1)-5}{(x-1)^{\frac{1}{2}}}=\frac{2x^3-2x^2-5}{(x-1)^{\frac{1}{2}}}$
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