College Algebra 7th Edition

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

Chapter 8, Sequences and Series - Section 8.6 - The Binomial Theorem - 8.6 Exercises: 45

Answer

$(2a+b)^{3}$

Work Step by Step

We need to factor: $8a^{3}+12a^{2}b+6ab^{2}+b^{3}$ We rewrite this as: $(2a)^3+3(2a)^2b^1+3(2a)2b^2+b^3$ We notice that this corresponds to an expanded binomial with a power of $3$ and terms $2a$ and $b$: $(2a+b)^{3}$
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