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: 46


$ \frac{2}{3d-1}, with$ $d\ne\frac{1}{3}$

Work Step by Step

Given : $\frac{\frac{3}{3d^{2}+5d-2}}{\frac{3}{2d+4}}$ This becomes : $\frac{3}{3d^{2}+5d-2} \times \frac{2d+4}{3}$ $= \frac{2(d+2)}{(3d-1)(d+2)}$ $= \frac{2}{3d-1}$ (After dividing out common factor (d+2))
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