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 506: 13


$\displaystyle \frac{5x+5}{x-3}$

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. --- $\displaystyle \frac{x}{x-3}+\frac{4x+5}{x-3} = \displaystyle \frac{x+4x+5}{x-3}$ $= \displaystyle \frac{5x+5}{x-3}$ $= \displaystyle \frac{5(x+1)}{x-3}\qquad$... no common factors to reduce by
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