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 7.1 - Rational Expressions and Their Simplification - Exercise Set: 42

Answer

$\frac{y+4}{y-5}$

Work Step by Step

To simplify, divide both the numerator and denominator by their greatest common factor. Use factorization to find the GCF. $\frac{y^2+5y+4}{y^2-4y-5}=\frac{(y+4)(y+1)}{(y-5)(y+1)}=\frac{(y+4)(y+1)\div(y+1)}{(y-5)(y+1)\div(y+1)}=\frac{y+4}{y-5}$
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