Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Practice and Problem-Solving Exercises - Page 674: 26



Work Step by Step

$\frac{2y+9}{4y+12}\times(y^2+y-6)$ $=\frac{2y+9}{4(y+3)}\times(y^2+3y-2y-6)$ $=\frac{2y+9}{4(y+3)}\times[y(y+3)-2(y+3)$ $=\frac{2y+9}{4(y+3)}\times(y-2)(y+3)$ $=\frac{(2y+9)(y-2)(y+3)}{4(y+3)}$ $=\frac{(2y+9)(y-2)}{4}$
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