Find the product:

(p³ + q³)(p−5q + 6r)

Consider the binomial p³ + q³ and the trinomial p−5q + 6r.

Now, to get the product of p³ + q³ and p−5q + 6r,we use the

distributive law i.e (p³ + q³)(p−5q + 6r) = p³(p-5q + 6r) + q³(p-5q + 6r) = (p³.p-5p³q + p³.6r) + (p.q³-5q.q³ + 6q³r) = p⁴-5p³q + 6p³r + pq³-5q⁴ + 6q³r

Therefore , the product of p³ + q³and p−5q + 6r is p⁴-5p³q + 6p³r + pq³-5q⁴ + 6q³r