Answer:
C.
Step-by-step explanation:
To multiply two polynomials, multiply every term of one polynomial by every term of the other polynomial. Then collect like terms.
Multiply p^2 by each term of the second polynomial. Then multiply q^2 by each term o the second polynomial.
[tex] (p^2 + q^2)(p^4 - pq - q^4) = [/tex]
[tex] = p^6 - p^3q - p^2q^4 + p^4q^2 - pq^3 - q^6}
There are no like terms to collect, but we can arrange the product in descending order of the power of q.
[tex] = p^6 + p^4q^2 - p^3q - p^2q^4 - pq^3 - q^6 [/tex]
Answer: C.
