Answer
$t^{2}+4t+4$
Work Step by Step
Given : $\frac{t^{2}-t-6}{\frac{t-3}{t+2}}$
This becomes : $\frac{(t-3)(t+2)(t+2)}{t-3}$
$= (t+2)^{2}=t^{2}+4t+4$
(After dividing out common factor (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 674: 44
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