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: 44

Answer

$56\cdot x^9\cdot y^{10}$

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 $n=8,r=5$ and $x^3,y^2$: $_{8}C_5(x^3)^{8-5}(y^2)^5=56\cdot x^9\cdot y^{10}$
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