How to remove apps that are remembered by App Store?
This will not be possible. You will see an cloud icon when you previously "purchased" an app. This will notify you that you could download the app without any costs.

It is not possible to delete those apps from your Apple ID.

If you don't want to see the cloud icon, you could sign out from the appstore via settings > iTunes &amp; App Store > sign out. This will hide the cloud icon but you have to log in each time you want to download an app.