I have no idea what balanced and differential means, even after googling it
If I'm remembering things right, a balanced audio connection is only possible between the music source and the amplifier. I don't think there's such a thing as a balanced
speaker wire run. If you tried to send a balanced signal directly to a speaker, the result would be silence.
Balanced connections require that the electronics on either side of the connection are specifically meant for that purpose. They often use special plugs so that there's no confusion.
I mean, I suppose you could use a cable which was intended for a balanced connection and connect its wires from the amp's speaker-out to the speakers, but the fact that it's a balanced cable can't help reject noise in that situation. At that point it's just a piece of wire.
Sometimes you'll find balanced connections on a thing which seems to be just a speaker, but if you look closer, it's actually and amp and a speaker together in the same enclosure. I'm thinking of things like stage monitor wedges, for example. You run a balanced XLR cable from the mixing desk's Monitor Out, to the wedges. But the wedges themselves have amplifiers in them, they also need a power cable. Pretty much any time you have a powered speaker, it's not just a speaker: an amplifier is inside the speaker enclosure too.
So you could, for example, have a balanced connection between a hifi stereo and an external amplifier (provided that they both have balanced outputs and inputs), but not from the amplifier to the speakers. Not without some electronics at the speakers which are intended to receive a balanced output.