Is this RAM compatible with my motherboard (Links to items included)?

Unfortunately a "factory" machine like HP has a hard time meeting there advertised spec! they show the 10600 (1333) ram but I'll bet the ram in the machine is the 1066 The board SHOULD default your 1600 ram to 1333 but it may not. Due to company policy, and the prioritized bios there is no "tweaker" or bios ability to OC the ram to 1600. A third party tweaker may do it. since there is only a few bucks difference between 1333 and 1600 (for Corsair XMS3) you haven't lost that much...IF...it works. You should be careful buying ram or CPU upgrades for a "factory" machine. They are notorious for dis allowing it, for two reasons, they don't want it back for repairs..and they want to ..sell..you a faster machine!