Answer
$ 9h^{3}-3h+3 $
Work Step by Step
Simplify and write in standard form
$ (4h^{3}+3h+1)-(-5h^{3}+6h-2) $
Distribute the $-$ in the second parenthesis
$ 4h^{3}+3h+1+5h^{3}-6h+2 $
Combine like terms and simplify
$ 9h^{3}-3h+3 $
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