Convert the DFA $($shown below as a state diagram$)$ to a regular expression. Show all your work. Rip out the states in the order $1,2,3.$

start

Your answer should have the $4$ major parts listed below:

Before ripping out any states $(2$ points$)$

Describe in words what states you add and otherwise how you modify the state diagram and or labels on edges.

$2.$ After ripping out state $1(6$ points$)$

Which edge labels are updated and what are they updated to$?$

$3.$ After ripping out state $2(5$ points$)$

Which edge labels are updated and what are they updated to$?$

$4.$ After ripping out state $3(3$ points$)$

Which edge labels are updated and what are they updated to$?$ What is your final answer?