Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-4 Adding and Subtracting Rational Expressions - Practice and Problem-Solving Exercises - Page 675: 14



Work Step by Step

Since we already have common denominators, we can add and simplify the numerators, combining like terms as needed: $\frac{2y+1}{y-1} - \frac{y+2}{y-1} =\frac{(2y+1)-(y+2)}{y-1} = \frac{2y+1-y-2}{y-1} =\frac{2y-y+1-2}{y-1} = \frac{y-1}{y-1} = 1 $
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