Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.3 - Complex Rational Expressions - Exercise Set - Page 438: 65

Answer

Does not make sense.

Work Step by Step

The given expression is $\Rightarrow \frac{3-\frac{6}{x+5}}{1+\frac{7}{x-4}}$ Multiply the numerator and the denominator by $(x-4)(x+5)$. $\Rightarrow \frac{(x-4)(x+5)\left ( 3-\frac{6}{x+5}\right )}{(x-4)(x+5)\left (1+\frac{7}{x-4}\right )}$ Use the distributive property. $\Rightarrow \frac{3(x-4)(x+5)-\frac{6(x-4)(x+5)}{x+5}}{1(x-4)(x+5)+\frac{7(x-4)(x+5)}{x-4}}$ Cancel common terms. $\Rightarrow \frac{3(x-4)(x+5)-6(x-4)}{1(x-4)(x+5)+7(x+5)}$ Hence, the given statement does not make sense.
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.