Answer
$10\cdot x^4y^6$
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 $n=5,r=5-2=3$ and $x^2,y^2$: $_5C_3(x^2)^{5-3}(y^2)^3=10\cdot x^4y^6$
