College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises: 31

Answer

$\frac{x+4}{x+1}$

Work Step by Step

We factor all terms and reduce: $\displaystyle \frac{x^{2}+7x+12}{x^{2}+3x+2}*\frac{x^{2}+5x+6}{x^{2}+6x+9}=\frac{(x+3)(x+4)}{(x+1)(x+2)}*\frac{(x+2)(x+3)}{(x+3)(x+3)}=\frac{x+4}{x+1}$
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