If it's indeed the same issue, I think you're out of luck, at least for the free part. Here's the Apple ticket about it:
http://support.apple.com/kb/TS4088This explicitly states that your warrantee for this very specific issue is extended to 3 years after date of purchase. I doubt you purchased a 2010 MBP in 2012...
Still, if this looks like what you're experiencing, get a genius bar appointment. It's free, and they have an automated diagnostic system that detects this specific issue (and others). If it's the same one, you might be able to talk yourself into a free replacement.
