College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 71: 62


LCM = $x^{2}(x+2)^{3}$

Work Step by Step

Step 1: Factor each polynomial completely. $x^{2}+4x+4=$... recognize perfect square $=(x+2)^{2}$ $x^{3}+2x^{2}=x^{2}(x+2)$ $(x+2)^{3}$ is factored Step 2: The LCM is the product of each of these factors raised to a power equal to the greatest number of times that the factor occurs in the polynomials. LCM = $x^{2}(x+2)^{3}$
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