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: 39

Answer

$13440x^{4}y^{6}$

Work Step by Step

We find the term with $x^4$ in the expansion of $(x+2y)^{10}$ by using Binomial Theorem coefficients: $\left(\begin{array}{l} 10\\4\end{array}\right)(x)^{4}(2y)^{6}=210*x^4*64y^6=13440x^{4}y^{6}$
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