pediatric medicine vs paediatrics

pediatric medicine and paediatrics both are nouns.

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

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

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

Other synonyms of pediatric medicine include pediatrics, pedology.

pediatric medicine (noun)	paediatrics (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