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:
$\left(\begin{array}{l}
10\\4\end{array}\right)(x)^{4}(2y)^{6}=210*x^4*64y^6=13440x^{4}y^{6}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
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 - Page 636: 39
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