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 676: 67


$ \frac{(t-r)(t+2r)}{(t+r)(t-2r)}$

Work Step by Step

Given : $\frac{t^{2}-r^{2}}{t^{2}-tr-2r^{2}} \times \frac{t^{2}+3tr+2r^{2}}{t^{2}+2tr+r^{2}}$ $= \frac{(t-r)(t+r)}{(t+r)(t-2r)} \frac{(t+r)(t+2r)}{(t+r)(t+r)}$ $= \frac{(t-r)(t+2r)}{(t+r)(t-2r)}$ (After dividing out the common factors (t+r) and (t+r))
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