Use 'buff up' when referring to improving knowledge in a specialized subject or skill. He will buff up on his French before moving to Paris.
Pro Tip 2/3
Preparation Essential
'Buff up' implies preparation for a specific event or requirement, such as an exam or interview. They're buffing up on their history for the upcoming quiz.
Pro Tip 3/3
Casual Speech
Common in casual or informal conversations, often used when giving advice. You should buff up on the company's profile before the meeting.