A transmission includes first, second, and third planetary gear sets (PGS). A first electric machine is fixedly coupled to a sun gear of the first PGS. A second electric machine is fixedly coupled to a carrier of the first PGS. A brake is selectively holding a ring gear of the first PGS against rotation. First and second clutches selectively couple the first and second electric machines, respectively, to a portion of the second and third PGS, respectively.