How to COMPLETELY delete app from iPhone 5?

I've been trying to use apps like FeaturePoints and Instant Rewards (both great apps!) but the problem is that it seems if I get rewards for an offer on one app, I can't get rewards for the same offer on the other app because even though I deleted the app and redownloaded it, the fact that it stayed in my "Purchased" app list seems to keep it from registering as a new download. So, for instance, if I download the Expedia app through FeaturePoints and get rewards on that app and then delete Expedia, and then Instant Rewards has an offer for Expedia and I redownload it, I don't get credits on Instant Rewards. Is there any way to delete something from the Purchased tab so the download completely disappears? I tried hooking my phone up to iTunes on my computer because I saw some tips about deleting the apps from there, but the apps don't even show up in my iTunes - just the Purchased tab in the App Store. How do I get rid of deleted apps from this list so I can properly redeem offers?

I would really, really appreciate help with this!

Also if you're interested in FT or IR, you can use referral code YB5Q7D in FeaturePoints to start off with 50 points, or jyD8C2YhZY3rU as your Instant Rewards bonus code!

First Calm Down Girl
Second Hold the app you want to Uninstall it for 5 seconds
Third Press the x button
Fourth Press yes by fingering over it
Fifth It Uninstalled!
I know it happened with me as well to delete from itunes delete it from your computer C:\Documents and Settings\John Roazy\My Documents\My Music\iTunes\iTunes Media\Mobile Applications then delete the app you want.