In nomenclature of coordination compounds the CMA is named differently for different complexes eg

1: K₂[Zn(OH)₄} is potassium tetrahydroxidozincate(II)

whereas

2: [Zn(en)F₂]is (ethylenediamine)difluorozinc

Please explain!

In K₂[Zn(OH)₄] the central metal atom is part of anionic complex = [Zn(OH)₄]^2- hence the suffix -ate after Zinc.

Whereas in case of [Zn(en)F₂] the compex is neutral ((en) is neutral ligand and positive charge in Zn(II) is balanced by presence of 2F^- ions) hence the name of the CMA is written as it is.