apologize

verbs

acknowledge faults or shortcomings or failing
"I apologized for being late"; "He apologized for the many typoes"
apologise, apologize
is derived from
apology
defend, explain, clear away, or make excuses for by reasoning
"rationalize the child's seemingly crazy behavior"; "he rationalized his lack of success"
apologise, apologize, excuse, justify, rationalise, rationalize