Which terms from the excerpt, if any, require an extended
definition, and why?
the word passé requires an extended definition
because it is foreign and might be unfamiliar to her
intended audience.
the word makerspace requires an extended definition
because it is complex and most likely unfamiliar to the
audience of the paper.
the phrase staying power requires an extended
definition because it is an infrequently used term that
may confuse the audience.
no words require extended definitions, all potentially
unfamiliar words are appropriately supported by context.

taking into account that a theme is the central topic a text treats and can be developed through a story, play, poem etc. the following are themes that can be further developed:  

my best friend jeffrey has many unusual interests. (the story could be about each of the unususal interests)

once a man gives his soul over to evil, he can never go back. (this could be a saying or a proverb)

the three sheepdogs lay around the yard all day. (it could be developed detailing how each of these sheepdogs lay around)

a priest's collar has an unusual effect upon people. (it could be developed detailing the different effect upon people)

innocence is a powerful force in a world full of corruption. (it could be developed detailing how is a world full of corruption)

king lear is a play shakespeare wrote later. (it is just a sentence and doesnt give any idea or topic to be discussed in details.

evil often wears the disguise of innocence. (this could be a saying or a proverb)

the answer is both an appeal to ethos and logos (if that's what your question options were)

this might :

i need the question options are if theres some?