You ever send a cracked nexus 4 back to google?

Ok so I cracked my phone a month ago. I had no problems with it I was planning to keep the phone even after I got a new phone for a back up phone. Well after 4.3 my nexus kept turning itself off while on idle. So I called google and they want to replace it. My only problem is what will they do because of the cracked back. Will they replace it kindly or will they just charge me full price and send me both phones back?