Albert Barnes Commentary 1 Corinthians 11:24

"and when he had given thanks, he brake it, and said, This is my body, which is for you: this do in remembrance of me." — 1 Corinthians 11:24 (ASV)

And when he had given thanks. See Barnes "Matthew 26:26".

Matthew reads it, and blessed it. The words here used are, however, substantially the same as there; and this fact shows that, since this was communicated to Paul directly by the Saviour, and in a manner distinct from that by which Matthew learned the mode of the institution, the Saviour designed that the exact form of the words should be used in its observance, and should thus be constantly borne in mind by his people.

Take, eat, etc. See Barnes "Matthew 26:26".