TONS of adhesive on Blown capacitors. Try to replace or swap in NEW BOARD?
The goo should have some give.  You should be able to scrape away enough of it with a exacto knife or small screw driver to allow you to remove the three caps.  Yes, they look in pretty bad shape.  You are lucky in that you caught them before they blew.  That would be a much bigger mess to clean up, probably not being worth it.

These caps are obviously a weak link in the design.  Either the designer cut corners and the caps are overstressed, or they cut corners and bought sub-standard parts.  The cap brand "CapXon" seems suspicious to me.  I'd never use a off-brand for caps like that in a commercial product I sell.  Either way, I'd replace them with caps of a little higher voltage rating.  These seem to be 820 &micro;F 25 V caps from the picture, so I'd replace them with at least 30 V caps.  Keep the capacitance the same though.

My normal place for getting such parts is Mouser.  For example, this part looks like it would do.  Panasonic is a trustworthy manufacturer, and Mouser is a trustworthy supplier.  This is NOT the kind of item you want to buy on Ebay, since fraud is hard to detect.

These replacement parts might not fit exactly the same way mechanically.  But this is a one-off manual job, so you can ben the leads a bit as needed to get the leads of all three caps thru the holes, then glob some hot glue around the base to hold everything together.  I would NOT go nuts with the hot glue and surround the main body of the caps as shown in your picture.  That would insulate them thermally, which is not good for them.  That may have contributed to the failure of the original caps.

Another important thing to do is to note which manufacturer produces this mess in the first place.  These caps really shouldn't be failing like this, and it's hard to see how it's not Samsung's fault.  The CapXon caps are probably substandard or just barely to spec, but it was Samsung who, probably quite deliberately, used el-cheapo parts in this case.  Be weary of other things from this manufacturer, now that you know they cut corners figuring things will break after the warranty period and clearly don't care much about their reputation.