Algebra 1

by Hall, Prentice

Published by Prentice Hall

ISBN 10: 0133500403

ISBN 13: 978-0-13350-040-0

Chapter 11 - Rational Expressions and Functions - 11-2 Multiplying and Dividing Rational Expressions - Lesson Check - Page 661: 5

Answer

$\frac{(a-2)^2}{3a}$

Work Step by Step

$\frac{\frac{a^2+2a-8}{3a}}{\frac{a+4}{a-2}}$ $\frac{a^2+2a-8}{3a}\div{\frac{a+4}{a-2}}$ $\frac{a^2+2a-8}{3a}*{\frac{a-2}{a+4}}$ $\frac{(a+4)(a-2)}{3a}*{\frac{a-2}{a+4}}$ $\frac{(a-2)}{3a}*(a-2)$ $\frac{(a-2)^2}{3a}$

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