correct answer is: d) p^8 + p^2q^6

Explanation

(p^2 + pq + q^2)\ (p^2 - pq + q^2)\ (p^4 - p^2q^2 + q^4)
\rightarrow p^2(p^2 - pq + q^2) + pq(p^2 - pq + q^2) + q^2(p^2 - pq + q^2) (p^4 – p^2q^2 + q^4)
\rightarrow p^4 – p^3q + p^2q^2 + p^3q – p^2q^2 + pq^3 + p^2q^2 – pq^3 + p^2q^2 (p^4 – p^2q^2 + q^4)
\rightarrow (p^4 + p^2q^2) (p^4 – p^2q^2 + q^4)
\rightarrow p^4(p^4 – p^2q^2 + q^4) + p^2q^2(p^4 – p^2q^2 + q^4)
\rightarrow p^8 – p^6q^2 + p^4q^4 + p^6q^2 – p^4q^4 + p^2q^6
\rightarrow p^8 + p^2q^6
Ans: p^8 + p^2q^6