How can I apply the $\nabla^3$ operator in the following expression? $$ \nabla^3\cdot \left( \mathbf{F(r)}g(\mathbf{r}) \right) $$ here $\mathbf{F(r)}$ is a vector and $g(\mathbf{r})$ is a scalar. Is there any identity to simplify the above expression?
I am looking for a way to write this expression where $\nabla$ operator directly applies to $g(\mathbf{r})$.