Answer
$9h^{3}-3h+3$
Work Step by Step
$(4h^{3}+3h+1)-(-5h^{3}+6h-2)=$
...distribute (remove parentheses)
$=4h^{3}+3h+1+5h^{3}-6h+2$
...gather like terms
$=9h^{3}-3h+3$
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