Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set: 69

Answer

$a^{3}-2a^{2}-18a+24$

Work Step by Step

$(a+4)(a^{2}-6a+6)=a(a^{2}-6a+6)+4(a^{2}-6a+6)=(a)(a^{2})+(a)(-6a)+(a)(6)+(4)(a^{2})+(4)(-6a)+(4)(6)=a^{3}-6a^{2}+6a+4a^{2}-24a+24=a^{3}-2a^{2}-18a+24$
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