Theory of Computatiion

Question

How is b*a* ⋂ a*b* = a* ⋃ b*??

Answer 1

 b*a* ={epsilon,b,bb,bbb,a,aa,aaa,ba,bbaa,bbbaaa,....}
 a*b*={epsilon,b,bb,bbb,a,aa,aaa,ab,aabb,aaabbb,...}

 b*a* ⋂ a*b*={epsilon,b,bb,bbb,a,aa,aaa,....}=(a*+b*)

Answer 2

we can see the result of intersection will be={epsilon,a,b,aa,bb,aaa,bbb,......} which is equal to a* ⋃ b*

Comments

Please work out your steps. It'll be better and beneficial too. Support ur answer by working it out. :). Yeah!!!