Replacing an expression by another in the ring of polynomials

savecancel

Let $f=xy^2+x+y+z\in\mathbb{Z}[x,y,z]$ I want to replace $xy^2$ by $z$. Is there a single command to do this with using the ring $\mathbb{Z}[x,y,z]$ to get $x+y+2z$. (Without using symbolic variables, I need to use this ring in my situation) ???