Page 17 provides guidance for connecting speakers to an HP A6332.
This excerpt on page 17 can be clarified by adding "IF," before the sentence.
"NOTE: Speakers may be passive (no power button and no power cord) or active (power
button or power cord). Your computer supports only active (powered) speaker systems; the
speaker system must have its own power cord."
This is an excerpt from page 21
Speakers may be included with the monitor (select models only) or are sold separately.
Refer to the product documentation for your speakers.
Your computer supports only an active (powered) speaker system. An active speaker
system must have its own power cord. A home audio system does not require active
speakers, because the receiver provides amplification."
Generally speaking, manufacturers offer many types of speakers for use with their computers. If the speakers that originally came with your computer had a extrernal power supply, then it would probably be best to use externally powered speakers.
I have seen many older computers and even some budget computers that use the sound card for amplification. Most modern sound cards are primarilly focused on sound processing, and not necessarilly amplification.
Its impossible to know whether your system requires powered or non-powered speakers because I have no way of knowing your computers specific configuration. However, I think it is safe to say, if you use externally powered speakers in either case, you should be ok.
If you call the manufacturer, or go to its web site, your original computer configuration can normally be provided if you provide its serial number.
Hope this helps - Good Luck!