Simplify by reducing (4y^2z^3-8yz^2)/(yz^2-2z)

(4y^2z^3-8yz^2)/(yz^2-2z)

= 4yz^2(yz - 2)/(z(yz - 2))
= 4yz^2/z
= 4yz , z ≠ 0, yz ≠ 2