Why would my adult male cat try to kill a female kitten?

I have had an adult male cat for approximately 1 month. My daughter wanted her own cat and knew someone that was giving away kittens. I told her she could get one if she agreed to take care of it. Upon arrival of the new kitten, we tried to introduce the cats to each other. At first, it looked like the adult was trying to clean the kitten until he bit the kitten. We tried a couple of times which only resulted in the same thing. Can anyone explain why?? Is it because the kitten is a female and my cat is a male?? Do male cats not get along with other cats?? I'm new to being a cat owner. Please help.