Beta hydroxybutyric acid on the other hand, even though it's still one of the ketone bodies, isn't technically a ketoacid since its ketone group has been reduced to a hydroxyl group.
While carboxylic acids are ketones bonded to an OH group instead of an R group, and ethers are just alcohols bonded to an R-group instead of a hydrogen.
After that happens, the liver turns the fatty acids into ketone bodies, like acetoacetic acid and beta hydroxybutyric acid; acetoacetic acid is a ketoacid because it has a ketone group and a carboxylic acid group.