  We give a simple formula for some determinants, and an analogous formula for
pfaffians, both of which are polynomial identities. The second involve some
expressions that interpolate between determinants and pfaffians. We give
several tableau formulas for difference operators in Types A and C, as well as
other operators that appear in the "enriched", or "back-stable" Schubert
polynomials. There are also tableau formulas for the enriched Schubert
polynomials for vexillary and $321$-avoiding permutations.
