Answer
See answer below.
Work Step by Step
a)$Fe(OH)_3(s)+3\ HNO_3(aq)\rightarrow Fe(NO_3)_3(aq)+3\ H_2O(l)$
Acid-base reaction.
Net ionic: $Fe(OH)_3(s)+3\ H_3O^+(aq)\rightarrow Fe^{3+}(aq)+6\ H_2O(l)$
b)$FeCO_3(s)+2\ HNO_3(aq)\rightarrow Fe(NO_3)_2(aq)+CO_2(g)+ H_2O(l)$
Gas-forming reaction.
Net ionic: $FeCO_3(s)+2\ H_3O^+(aq)\rightarrow Fe^{2+}(aq)+3\ H_2O(l)+CO_2(g)$