regular expression

Question

Are both regular expression  same .a*(ba*)* =(a+b)*ba(a+b)*

if not then why????

Answer 1

Both are not equivalent.. 

Because using first regular expression we can generate any string of alphabet a & b. 

But the constraint with second regular expression is that all the string must have ba as its substring..

That's why both are not equivalent!! 

Hope it helps!! 

Please Comment if there is anything wrong in my explanation!!