Here is a quick video I made today while removing the OEM grille from my 2011 Tahoe. Hope it helps someone. The grille is a real PITA to take off, especially when it's only 40F outside.
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That's funny, I referenced your video in my post about replacing the black LT grille with the Chrome LTZ grille. Great job on the video, it was a tremendous help when I swapped then out!
See my post describing the differences of the black and chrome grilles, they are, in fact, different and assembled differently. The chrome bezel is the same on both, but the black pieces are different between the two.
http://www.tahoeyukonforum.com/forum/showthread.php?t=67274
I hope this clears up any confusion on the differences. I tried to capture it as best I could in the pictures.