I am sure the LM1875 will sound fine, but I don not like bridge amplifiers as they introduce more distortion and can get into a tangle with some music and difficult-to-drive speakers. There are much better integrated amplifiers.
To get the best from an amplifier you need direct coupling, which means plus and minus supply lines, and good components: metal film resistors and polypropylene capacitors or good quality aluminum electrolytic capacitors for the high values.
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