which one of the following regular expression describe the language over {a,b} consist of no pair of consecutive a’s? a. (b*abb*) (a+€) b. (b+ab)* (a+€) c. (b*abb*)*(a+€)+b* d. (b*ab*)*(a+€)+b*(a+€)

I tried applying a method where we write equation as state with incoming transition on given dfa - q1 = $\epsilon$ + bq1+bq2 q2 = aq1+aq2 but then able to reach till this conclusion only: q2 = ab*+aq2+abq2b* How to solve further? Here q1 is a start state.