Edsonic
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Sending separate lines from amp to speakers and amp to sub(s) is parallel connection. This is the cleaner way.
Run in series, separate loads add arithmetically, e.g. 8 + 8 + 8 = 24 ohms. Run in parallel the load is the 'reciprocal of the sum of the reciprocals' of the individual loads; 1/8 + 1/8 + 1/8 = 3/8, reciprocal is 8/3 = 2.7 ohms.
The common active subs for sale rarely give the input impedance for speaker level, but through many searches I found one claiming 100 ohms and two stating 1k ohms. From one amp channel's speaker out to one 8 ohm speaker and also to one sub input, connected separately (parallel), this would show 7.4 or 7.9 ohms, respectively, to the main amplifier. Hardly an imposition on the amp either way. But with series connection, who knows?
Aside that, there is issue of the main speaker driver's back EMF that would be translated to the sub if connected in series (amp ->speaker->sub).
So, as related above: "[Parallel] method was recommended as ideal for sound quality and does not reduce power to the speakers."
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