Answer
a(2b+3a)($4b^{2}$ -6ab+9$a^{2}$)
Work Step by Step
8a$b^{3}$+27$a^{4}$=a(8$b^{3}$+27$a^{3}$ )=a[ $(2b)^{3}$ +$(3a)^{3}$]=
a[(2b+3a)($(2b)^{2}$ -(2b)(3a)+$(3a)^{2}$)]=
a[(2b+3a)($4b^{2}$ -6ab+9$a^{2}$)
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 6 - Section 6.5 - Factoring by Special Products - Exercise Set - Page 448: 66
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