Answer :
The expression x³ - 27y⁶ is a prime polynomial.
What is a prime polynomial?
An irreducible or primal polynomial is a polynomial with integer coefficients that cannot be factored into polynomials of lower degree and also with integer coefficients.
A prime polynomial cannot be factored into a polynomial of a lower degree.
Note that the polynomial given in options (A),(C), and (D) can be factored into a polynomial of lower degree, but the polynomial given in option (B),
x³ - 27y⁶, cannot be factored into a polynomial of lower degree.
Hence, the expression x³ - 27y⁶ is a prime polynomial.
Learn more about the prime polynomials:
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