  A ring R is a strongly 2-nil-clean if every element in R is the sum of two
idempotents and a nilpotent that commute. A ring R is feebly clean if every
element in R is the sum of two orthogonal idempotents and a unit. In this
paper, strongly 2-nil-clean rings are studied with an emphasis on their
relations with feebly clean rings. This work shows new interesting connections
between strongly 2-nil-clean rings and weakly exchange rings
