The life cycle of an American cockroach has three main stages: egg, nymph, and adult.
Female cockroaches lay eggs in cases called oothecae, and each case holds about 14 to 16 eggs. These cases hatch in about six to seven weeks, which is when the baby cockroaches, called nymphs, emerge.
The nymphs have to shed their skin several times before they become adults; this whole process takes between 6 and 12 months, depending on conditions.
Once they reach adulthood, American cockroaches can live for one to two years, and during that entire time, females keep laying new egg cases (this rapid reproduction cycle is why infestations can spiral out of control so quickly).