[tex]
(2y-z)^5=(2y-z)^2\cdot(2y-z)^3 \\
(4y^2-4yz+z^2)\cdot(8y^3-12y^2+6yz-(-z)^3) \\
(4y^2-4yz+z^2)\cdot(8y^3-12y^2+6yz-z) \\
\boxed{32y^5-48y^4+24y^3z-4y^2z-32y^4z+48y^3z-24y^2z^2+4yz^2+8y^3z^2-12y^2z^2+6yz^3-z^3} \\
[/tex]