Home made Thermite:
Mix 50:50 iron oxide and [REDACTED]. Ignite with a magnesium strip tucked into the heap of Thermite, lit with a propane torch.
When the Thermite eats it's easy to China through your driveway, the axle will be cool enough to replace with a new one.
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Nah, hammering on a slightly smaller 6-point socket and then attaching your breaker bar works a cinch. The trick here is to yank/snap on the breaker bar until the bolt breaks free. No hammers. No impacts, sometimes they can just twist the bolt head off. Slow, steady pressure will twist them too.
Get the handle of the breaker bar in a good spot that you can pull on it like a maniac in a fitness planet rushing through pull ups.