Related to [this question](https://mathoverflow.net/questions/202683/counterexample-to-proposition-of-granville-related-to-abc-conjecture).

For polynomial $f$, let $rad(f)$ denote the radical of $f$,
the product of irreducible factors.

Suppose that $G(x,y) \in \mathbb{C}[x,y]$ is homogeneous
without any repeated factors.  $r(u,v),s(u,v) \in \mathbb{C}[u,v]$
are coprime. At least one of them depends on both $u,v$,
i.e. is not univariate.

> Q1 Is it true that $\deg{(rad(G(r(u,v),s(u,v))))}\ge \max\{\deg(r),\deg(s)\}(\deg(G)-2) + 2$?

If we drop the restriction to depend on both $u,v$ this is false.

The bound is attainable.

I _suspect_ $abc$ implies this, so $abc$ for multivariate polynomials
might solve this.