Question

I require assistance of this baffling mathematical equation that exceeds my limits

Answer 1

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.

$(p^2 + q^2)(p^4 - pq - q^4) =$

$= 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$

Answer: C.