So one side of the cable has a white strip connector, and the other side has a black strip connector. (both comments above are correct, depending on which side you are looking at)
The side in the photo has a black connector strip that needs to be opened. It is the long small strip of plastic on the _opposite_ side of the connection point, to the cable.
It clicks up into the air, like on a hinge.
The cable then pulls out, without any resistance.