ELECTRIC DRIVE SYSTEM FOR A MOTOR VEHICLE, AND MOTOR VEHICLE

An electric drive system for a motor vehicle includes an electric engine having a stator and a rotor, and a planetary gearbox having a first planetary gear set, which has a first sun gear, a first planetary carrier, and a first ring gear. A second planetary gear set, which has a second sun gear, a second planetary carrier, and a second ring gear, is arranged radially outside and axially overlapping the first planetary gear set with regard to a rotational axis of the planetary gearbox. A differential gear includes a first crown wheel, a second crown wheel, and pinion gears arranged axially between the crown wheels and meshing with these.