Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 6 - Rational Expressions and Equations - 6.2 Multiplication and Division - 6.2 Exercise Set - Page 384: 29

Answer

$$\frac{y\left(y-1\right)}{y+1}$$

Work Step by Step

To multiply fractions, we multiply the numerators by each other to get the new numerator, and we multiply the denominators by each other to get the new denominator. Doing this and simplifying, we find: $$ \frac{y^2-y}{y^2+5y+4}\left(y+4\right)\\ \frac{y\left(y-1\right)\left(y+4\right)}{\left(y+1\right)\left(y+4\right)}\\ \frac{y\left(y-1\right)}{y+1}$$
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