Answer:
Option A and C.
Step-by-step explanation:
We need to find binomials which are a difference of squares.
Difference of squares is [tex]a^2-b^2[/tex].
Rewrite the given expressions.
[tex]g^4-9=(g^2)^2-3^2[/tex] (It is difference of squares)
[tex]m^5-9=m^5-3^2[/tex] (It is not a difference of squares)
[tex]16q^2-1=(4q)^2-1^2[/tex] (It is difference of squares.)
[tex]x^2+16=x^2+4^2[/tex] (It is sum of squares)
Therefore, the correct options are A and C.