explain and show all work please and write clearly please thank you

The Morse Function: U(R) = De[1 - e-a(R-Re)]2 is often used to approximate the U(R) curve of a diatomic molecule, where the molecule's equilibrium dissociation energy De is: De = U00) - U(Re) ( = Verify that this equation for De is satisfied by the Morse Function. Show that a = (k/2D.)12. Note that: ke = du dR2 at R=Re. (Think about why this is so!)