Ah, it has been a long time since I did the review of background erase. But I will try Keith.

As I remember, Background Erase, you have to mask the color or colors you want to erase, then click Background Erase. To be honest I never used it that much.

Select Colors to Enhance is a newer feature that was added after Background erase. It is faster, click on a color, especially a solid color, edit the Tolerance and Fade, and then you can edit this selection with the Enhance photo tools or make the background transparent.

I find the need for a small amount of FX > Bitmap Feathering to soften the edges.