Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 688: 29



Work Step by Step

Given : $\frac{a}{a+3}-\frac{4}{a+5}$ This becomes : $\frac{a(a+5)}{(a+3)(a+5)} - \frac{4(a+3)}{(a+3)(a+5)}$ (Finding the least common denominator) $= \frac{a(a+5)-4(a+3)}{(a+3)(a+5)}$ $= \frac{a^{2}+5a-4a-12}{(a+3)(a+5)}$ $= \frac{a^{2}+a-12}{(a+3)(a+5)}$ $= \frac{(a+4)(a-3)}{(a+3)(a+5)}$
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.