Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 58

$9y^6-18y^4+3y^3-3y^3+6y-1$

Using the Distributive Property, the product of the given expression is \begin{align*} & (3y^3-1)(3y^3-6y+1) \\\\&= 3y^3(3y^3)+3y^3(-6y)+3y^3(1)-1(3y^3)-1(-6y)-1(1) \\\\&= 9y^6-18y^4+3y^3-3y^3+6y-1 .\end{align*}