Answer
$t+3$
Work Step by Step
$\frac{t^2+5t+6}{t-3}.\frac{t^2-2t-3}{t^2+3t+2}$
Factor:
$=\frac{(t+2)(t+3)}{t-3}.\frac{(t-3)(t+1)}{(t+1)(t+2)}$
Divide out common factors
$=t+3$
Algebra 1: Common Core (15th Edition)
by Charles, Randall I.
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: 51
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