This discoloration is not dirt and cannot be cleaned by anything that people have tried, and the list is extensive: iKlear and similar cleaners, hot water, Windex, diluted bleach, a Magic Eraser...the list is long.
There definitely appears to be a problem here with the plastic that Apple has used for the palm rests on the first-generation white MacBooks. I have not seen this yet personally (I've yet to even see a MacBook in person), but the numbers and anecdotal evidence is looking pretty convincing. Now, I wonder if Apple will acknowledge the problem and replace the plastics, or whether they'll pass this off as "cosmetic damage" as they've done in the past (cracking lines on the G4 Cube, anyone?).