1. (50 points, 2+8 points each) State whether the following equalities are true or false (2 points). Explain your answer (8 points). If the languages are not equal, show one example of a string that in one but not the other. If the languages are equal, clearly specify the pattern of the strings in the languages and tell why they end up being the same. (a) (b) (c) (a Ub)* (a Ub)* (a U b)* (a U b)* (a U b)* = (a U (a*b))* = (a U (a+b))* = (a U (b*b))* = (a U (6+b))* = 1U (a Ub)+ (e)