Answer:
Step-by-step explanation:
[tex](-4z^3-2z+8)-(4z^3+3z^2-5)\\\\=-4z^3-2z+8-4z^3-3z^2-(-5)\\\\=-4z^3-2z+8-4z^3-3z^2+5\\\\\text{combine like terms}\\\\=(-4z^3-4z^3)-3z^2-2z+(8+5)\\\\=-8z^3-3z^2-2z+13[/tex]