To simplify the given expression, we need to expand the product of the two binomials using the property.
(4s^3 + 7) (4s^2 - 9)
= 4s^3(4s^2) + 4s^3(-9) + 7(4s^2) + 7(-9)
= 16s^5 - 36s^3 + 28s^2 - 63
Therefore, (4s^3 + 7) (4s^2 - 9) simplifies to 16s^5 - 36s^3 + 28s^2 - 63.