The Two-Handed Fighter archetype has the ability:
Backswing (Ex)
At 7th level, when a two-handed fighter makes a full-attack with a two-handed weapon, he adds double his Strength bonus on damage rolls for all attacks after the first.
The fighter I'm building has a trip focus so, in a full attack, I can use my first attack to trip and all subsequent attacks will have double str bonus against a prone enemy. However Greater Trip allows me to take an AoO after a successful trip and, combat reflexes and the fortuitous weapon special would allow me to take 2 AoOs against this target that I tripped.
So since these AoOs are occurring during a full attack, does Backswing apply to attacks of opportunity provoked during a full attack?
Why or why not?