The expression is a prime polynomial is [tex]x^3 - 27y^6[/tex]
An irreducible polynomial is a polynomial (of degree greater than zero) that cannot be factored into polynomials of lower degrees. The irreducibility property depends on the nature of the coefficients that are accepted for the possible factors, that is, the field or ring to which the coefficients of the polynomial and its possible factors should belong.
In this way we have that:
[tex]x^3 - 27y^6[/tex]
See more about prime polynomial at brainly.com/question/17489661
