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[Star Wars] Why did Greedo try to kill Han?

If there was a bounty out on his head, why would Greedo try to kill him? Boba Fett says "He's no use to me dead.", implying Jabba wants him alive.
gpt
When Greedo confronted Solo on Tattoine, Jabba was simply looking to either recoup lost expenses or get revenge. Solo was not needed alive for either of them, as with him dead Jabba could essentially just waltz in and take the *Falcon* as payment. The events on Bespin took place three years after that, though. Three years of Solo avoiding paying Jabba and avoiding/killing any bounty hunter that came after him. Jabba was at this point very displeased, and wanted to make a real example of him. The best (and most humiiliating) way to do that would be to have Solo captured alive and tortured in front of his entire court, ensuring that no one would dare think to cross Jabba again. Having Solo turn up as a *literal* trophy to hang on the wall was a bit of an added bonus that Jabba was not expecting.