Answer
$ 8y^3 - 26y^2z +39yz^2-18z^3$
Work Step by Step
We multiply each term of the first polynomial by each term of the second polynomial. Then we add the products, as follows
$$
(4y- 3z)(2y^2 - 5yz + 6z^2)=4y(2y^2 - 5yz + 6z^2)- 3z(2y^2 - 5yz + 6z^2)\\
=8y^3 - 20y^2z +24yz^2-6zy^2 +15yz^2-18z^3\\
= 8y^3 - 26y^2z +39yz^2-18z^3
.$$
