Answer
$ 7z^{3}-2z^{2}-16$
Work Step by Step
Simplify and write in standard form
$ (8z^{3}-3z^{2}-7)-(z^{3}-z^{2}+9) $
Distribute the $-$ in the second parenthesis
$ 8z^{3}-3z^{2}-7-z^{3}+z^{2}-9 $
Combine like terms
$ 7z^{3}-2z^{2}-16$
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