Faucet in the master bathroom has been making a weird noise lately and today it finally broke off completely. I was able to disconnect the hose from the black plastic part of the tubing but can't figure out a way to disconnect the hose itself from the middle plastic part that connects the cold and hot water hoses. Any help is appreciated.

Here are pictures of all the parts.
[imgur.com]

something snapped and broke. you will need to figure out the manufacturer of the faucet and contact them for a replacement assembly.. that is factory pressed and can not be put back together.

You CANNOT. The hose and fittings are all a single piece.

I imagine that it is an older faucet. I don't know the brand. A picture of the top side would help us help you.
The black n white plastic part is OEM and part of the actual faucet.
The hoses look like a generic fiberglass re-inforced plastic supplies. These have been replace by the better stainless steel hoses, with compression couplings. Don't forget a picture of your faucet topside

Best Wishes

Moen 9000?

Steve is correct. Moen part # 114299

I think you got a problem with the rubber. Old rubber washers can make a particular sound when water passes over them in a hurry. If your faucet is making a screeching sound, then washers is the main problem. Replace the washers with an inexpensive kit from a hardware store, or replace the whole faucet.