Feynman wrote in his autobiography that much of his success came from having different mathematical tricks than most of his peers. So when they were stuck, he could sometimes make progress.
He had many tricks in limited area. All his his tricks were limited to classical calculus and nineteenth-century mathematics. He didn't do anything fancy.
His style was always the same, he just mastered it really well.
Feynman used to read his own books. When asked he said, "it's all in here". He used to revise and refresh his own understanding.
Interestingly, one of his famous tricks of computing complex integrals by parameterizing[1] and then differentiating under the integral is known as “Feynman’s trick” in his honour spite of it having been invented by Euler over 250 years before.
[1] https://zackyzz.github.io/feynman.html