Dr. Brody: Sir, your son has a disease called boofa.
Dad: What's boofa?
Dr. Brody: Both of these nuts in your mouth.
The joke plays on the made-up word 'boofa' which sounds like 'both of'. When the dad asks what it means, the doctor explains it by saying, 'both of these nuts in your mouth,' which is a crude way of referring to testicles and implies the dad is performing oral sex. The shock and vulgarity are the main source of humor.
boofa
boofa