College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.5 - Page 758: 48

Answer

$13440x^4y^6$

Work Step by Step

According to the Binomial Theorem we can obtain the $r+1$th term of the expansion of the binomial $(x+y)^n$ by the formula $_nC_rx^{n-r}y^r$. Hence here it is: (by plugging in $n=10,r=6$ and $x,2y$: $_{10}C_{6}(x)^{10-6}(2y)^{6}=210\cdot x^{4}64y^{6}=13440x^4y^6$
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