Class A - Class B
Class B will take a signal and split it in half and amplify the two halves. Then the signal is re-spliced on the output. Occasionally there is distortion where the two halves meet back up if both sides of the amplifier don't EXACTLY match. In a well designed system, you won't be able to tell.
Class B uses less power than class A.
Class A forces the WHOLE signal through an amplifying device, no splitting, splicing, or "crossover distortion."
A poorly designed class A amp will not sound better than a well-designed class B amp.
Most people will not be able to tell the difference between the two classes if they are properly built.