When you bridge a bridgeable stereo amp it sees half the impedance of the connected speaker load. So bridging is generally recommended for 8 ohm speakers, as the bridged amplifier would see them as a 4 ohm load. With 4 ohm speakers, the amp would see a 2 ohm load, which is not generally a good thing and will cause it to run hotter.
That is a simplistic view, and a lot depends on the actual impedance curve of the speaker that shows the impedance at different frequencies rather than a generalized 8 ohm or 4 ohm "nominal" or "average" impedance spec.
From a technical or purist view, bridged amps generally have a bit more distortion and lower damping factor, which may or may not be audible to you. Most important is the specific impedance characteristics of your particular speaker and whether that will cause the amp to run too hot or possibly even shutdown.
Steve