The second lens is an ED lens, meaning it contains extra-low dispersion elements.
These are quite different optical designs (see the number of elements and groups in the Tech specs on the page you linked to). internally these lenses would be completely different.
This means they can, in principle, have quite different optical characteristics. I think Lenstip.com has detailed tests of both lenses and typically that site will test an FX lens on both FX and DX bodies.