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Since all the H atoms around the N central atom have the same electronegativity, even if the bonds were polar, since they all pull the same, the bonds would cancel each other out and thus there would be no significant partial charge on any of the atoms, making the molecule polar.
NH3 is a neutral molecule on its own; therefore, it acts as a neutral ligand. I had this same question, and I found that drawing out the Lewis structure and calculating the formal charge on each atom (which will all be 0) to be helpful in determining an answer, as it made it easy to see that NH3 has a net charge of zero. Hope this helps!
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