The student pilot reported that the airplane bounced multiple times during landing and the airplane veered to the left. His efforts to correct the veer were unsuccessful, directional control was lost, and the airplane exited the left side of the runway. The airplane impacted a ditch, crossed a taxiway, impacted a second ditch, and came to rest upright. The airplane’s nose gear collapsed and the forward fuselage was substantially damaged. The student pilot also reported that there were no preimpact mechanical malfunctions or failures.