Answer
$319770\cdot x^{16}y^{14}$
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 $n=22,r=14$ and $x^2,y$: $_{22}C_{14}(x^2)^{22-14}(y)^{14}=319770\cdot x^{16}y^{14}$
