The correct answer is: D. These kittens can be played with quite safely.
The other options are incorrect because they do not agree with the subject and verb of the sentence. The subject of the sentence is “these kittens,” and the verb is “can be played with.” Option A, “These kittens can played with quite safely,” is incorrect because the verb “played” does not agree with the subject “kittens.” Option B, “These kittens can play with you quite safely,” is incorrect because the verb “play” does not agree with the subject “kittens.” Option C, “These kittens can be played with you quite safely,” is incorrect because the prepositional phrase “with you” is not necessary.
The sentence “You can play with these kittens quite safely” means that it is safe for you to play with these kittens. The kittens are not dangerous and will not hurt you. You can play with them without fear of being scratched or bitten.