
AwesomenessDog |

The damage is just bonus damage, it rides onto the most recent hit and adopts that hit's damage type, which as a result of Boar Style, is precision damage. Bonus damage dice never are multiplied unless they say otherwise (Boar Style does not say otherwise), and because this is bonus damage, the strength damage is already applied as part of the basic hit.

Wonderstell |
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No, the extra damage from Boar Style is not precision damage. This means that you can deal this extra damage to foes with concealment. It would however still not be multiplied on a critical hit because of the rules for Multiplying Damage:
Sometimes you multiply damage by some factor, such as on a critical hit. Roll the damage (with all modifiers) multiple times and total the results.
Note: When you multiply damage more than once, each multiplier works off the original, unmultiplied damage. So if you are asked to double the damage twice, the end result is three times the normal damage.
Exception: Extra damage dice over and above a weapon’s normal damage are never multiplied.
And the ability doesn't work like Rend. Boar Style simply gives you an extra 2d6 dmg on top of your normal attack damage.

thorin001 |

The damage is just bonus damage, it rides onto the most recent hit and adopts that hit's damage type, which as a result of Boar Style, is precision damage. Bonus damage dice never are multiplied unless they say otherwise (Boar Style does not say otherwise), and because this is bonus damage, the strength damage is already applied as part of the basic hit.
Where do you get that the extra damage is precision damage?