Table 9 or table 8?

I tried a hypothetical situation out both ways and got same result, rounded to nearest tenth anyway.

One thing one must remember is the table 8 resistance values are for 1000 feet, so if you are figuring drop for 300 feet like I did in my hypothetical situation, you need to multiply table 8 resistance by .300 before solving your ohm's law based equation.

Table 9 includes factors that are specific to AC.

Table 8 is DC resistance only.

The DC resistance is the value that is resistance by strict definition, the one that Ohm's law in its pure form considers. The "AC resistance" accounts for the fact that inductance effects play a role in voltage drop, when current is time-varying. For sizes #1 and smaller, you generally can neglect this difference. For sizes #1/0 and larger, it becomes significant.

The reason one might want to use the K-factor instead of the tables, is so you can keep track of the general trend in how resistance depends on wire size. Rather than solving for Ohms/kft and doing a reverse lookup, you solve for kcmil as a direct algebra problem.