Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 7 - Section 7.3 - Adding and Subtracting Rational Expressions with the Same Denominator - Exercise Set - Page 507: 15



Work Step by Step

To add rational expressions with the same denominator, add numerators and place the sum over the common denominator. If possible, factor and simplify the result. --- $\displaystyle \frac{4x+1}{6x+5}+\frac{8x+9}{6x+5} = \displaystyle \frac{4x+1+8x+9}{6x+5}$ $= \displaystyle \frac{12x+10}{6x+5}$ $= \displaystyle \frac{2(6x+5)}{(6x+5)}\qquad$... reduce the common factor $= \displaystyle \frac{2}{1}=2$
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