How to remove apps that are remembered by App Store?

Over the past few years, I have downloaded various apps onto my iPhone from the App Store. I have noticed that the App Store remembers the apps that I have downloaded. So, for instance: If I download an app and then delete it from my phone and go back into the App Store, the download icon is different (it doesn't say "+Get" like apps that I have never downloaded before, instead it will have an icon of a cloud with an arrow pointing downwards).

How to I get the App Store/iCloud to forget these programs?