Is aa distinguishable from the string a with respect to the set of strings over {a,b} that end with aaa? If so, prove it. * What implication does the above result have on the design of an FSA M such...

Is aa distinguishable from the string a with respect to the set of strings over {a,b} that end with aaa? If so, prove it. *

What implication does the above result have on the design of an FSA M such that L(M) is the set of strings over {a,b} that end with aaa?