Methods and systems for a vehicle transmission are provided. In one example, a vehicle transmission system is provided that includes a first planetary gear set rotationally coupled to a second planetary gear set, a first electrical machine rotationally coupled to a sun gear in the first planetary gear set, and a second electrical machine rotationally coupled to a sun gear in the second planetary gear set. The transmission system also includes an inter-axle differential including a third planetary gear set rotationally coupled to a first axle and a second axle and selectively rotationally coupled to the first planetary gear set and the second planetary gear set, wherein the inter-axle differential is configured to selectively enable and disable speed differentiation between the first and the second axles.