Answer
$(a-1)(a+3)(a+1)^{2}$
Work Step by Step
Think of the equation as $x^2-2x-3$, with $x=a^2+2a$. We then get:
$(a^{2}+2a)^{2}-2(a^{2}+2a)-3=[(a^{2}+2a)-3][(a^{2}+2a)+1]=(a^{2}+2a-3)(a^{2}+2a+1)=(a-1)(a+3)(a+1)^{2}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises - Page 43: 108
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