Ok, it appears that Apple, despite everyone's desire to be able to literally delete unwanted apps from their account/from their Cloud/from whatever, despite the overwhelming consumer desire for this function, Apple in their arrogant infinite wisdom thinks you're wrong. So, you cannot delete the unwanted apps.
However, in its stead you can hide the apps you wish never to see again. The process is, naturally, laborious - after all, we're talking Apple here, and they make almost nothing easy. But give this a try:
Open iTunes. Click on the "Account" dropdown menu that appears in the upper-left of the main iTunes screen. From that dropdown menu click "Purchased". Over on the upper-right part of the screen that appears you'll see, from left to right, "Music Movies TVShows Apps Books Audiobooks" or some combination of those. Needless to say, you want to click on "Apps".
Click your device - either iPhone or iPad - where the offending apps reside. Now, I assume the apps you would like to delete are "Not In My Library" so click on that - "Not in My Library", in the upper-center of the screen. Now hold your cursor over each app, one at a time, and you'll see a little black "x" in a grey circle in the upper-left corner of the app.
Click on that "x" and the app will disappear. You may get a message telling you how you can "unhide" them, should you so desire in the future. Mind you, the app has not been deleted. But it's no longer cluttering up your inventory of apps. It's late now so I won't sync my iPhone to iTunes until the morning, so I don't know what effect this will (or won't?) have on the inventory of apps when you access them via the App Store from your iPhone or iPad. The housekeeping in iTunes should sync with our devices. If it doesn't, it would be asinine to the nth degree. I'll find out a little later.
Anyway, as if the process isn't harebrained enough, Apple thought they'd continue to make your life miserable, so you cannot hide/delete multiple apps at once. No, you have to do them one at a time. And to add insult to injury, once you start to scroll down to hide/delete an app, iTunes bounces you all the way back to the top, forcing you to have to scroll back down to where you were. Every. Single. G/d. Time.
***, Apple???
