paediatrics vs pediatric medicine

paediatrics and pediatric medicine both are nouns.

Word	Noun	Adjective	Verb	Adverb
paediatrics	Yes	No	No	No
pediatric medicine	Yes	No	No	No

As nouns, paediatrics and pediatric medicine are synonyms defined as:

paediatrics and pediatric medicine: the branch of medicine concerned with the treatment of infants and children

Other synonyms of paediatrics include pediatrics, pedology.

paediatrics (noun)	pediatric medicine (noun)
the branch of medicine concerned with the treatment of infants and children	the branch of medicine concerned with the treatment of infants and children