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 675: 61

Answer

The first step is wrong.

Work Step by Step

The error is in the first step. The student should replace the division sign with the multiplication sign. The correct steps are shown below. $=\frac{3a}{a+2}\div \frac{(a+2)^2}{a-4}$ $=\frac{3a}{a+2}\times \frac{a-4}{(a+2)^2}$ Multiply the fractions. $=\frac{3a(a-4)}{(a+2)^3}$
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