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