Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.5 - Factoring Polynomials - Exercise Set - Page 70: 122



Work Step by Step

The larger rectangular prism has volume=(base area)$\times$height, $V_{1}=a^{2}(3a)=4a^{3}$ The inner rectangular prism has volume $V_{2}=b^{2}(3a)=3ab^{2}$ The volume we are after is $V=V_{1}-V_{2}=3a^{3}-3ab^{2}$ $=3a(a^{2}-b^{2})\qquad$... a difference of squares, $V=3a(a+b)(a-b)$
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