red gum vs peppermint gum

red gum and peppermint gum both are nouns.

Word	Noun	Adjective	Verb	Adverb
red gum	Yes	No	No	No
peppermint gum	Yes	No	No	No

As nouns, red gum and peppermint gum are synonyms defined as:

Other synonyms of red gum include Eucalyptus amygdalina, peppermint.

red gum (noun)	peppermint gum (noun)
red gum tree of Tasmania	red gum tree of Tasmania
very large red gum tree
a North American tree of the genus Liquidambar having prickly spherical fruit clusters and fragrant sap
reddish-brown wood and lumber from heartwood of the sweet gum tree used to make furniture
reddish-brown dried gummy exudation from any of several trees of the genus Eucalyptus especially Eucalyptus camaldulensis