College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises - Page 43: 60



Work Step by Step

We factor out common terms and simplify: $3x^{-1/2}(x^{2}+1)^{5/4}-x^{3/2}(x^{2}+1)^{1/4}=x^{-1/2}(x^{2}+1)^{1/4}[3(x^{2}+1)-(1)x^{2}]=x^{-1/2}(x^{2}+1)^{1/4}(3x^{2}+3-x^{2})=x^{-1/2}(x^{2}+1)^{1/4}(2x^{2}+3)=\frac{\sqrt[4]{x^{2}+1}(2x^{2}+3)}{\sqrt{x}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.