## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$7,838,208\sqrt2u^{5}$
The $r+1$ th term in the binomial expansion of $(x+y)^n$ is: $\binom{n}{r}x^{n-r}y^r$ Here $x=2u$, $y=3\sqrt{2}$, $n=10$: There are 11 terms in this expansion, the middle one is the 6th. $r+1=6$ $r=5$ The indicated term is: $\binom{10}{5}(2u)^{10-5}(3\sqrt{2})^5=252\times2^5\times u^{5}\times 972\sqrt2=7,838,208\sqrt2u^{5}$