How to use the elimination rule in regex?

Instead, it would become: This simplifies into: This is our final regex, since the bottom part has no accept state and is thus irrelevant. you start from (q0) state if u input (0) then you can reach to the final ; instead if u input (1) you couldnt reach final . so consider only states (q0) (q1) (q2) and apply elimination rule on these states
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