Sforno on Genesis 1:28/ספורנו על בראשית א׳:כ״ח

1וכבשה, this is not a directive to conquer earth with muscular power, but to subdue it by means of man’s superior intellect. It means that man is to use his intelligence to prevent predators from invading his habitats, demonstrating the fact that man is superior, can outwit the beasts.

2ורדו, trapping the beasts, training them to bend to man’s will.