Question

Which of the following regular expression identifies are true?

• A. $r{(}^{\ast })=r^{\ast }$
• B. $(r^{\ast }{s}^{\ast }{)}^{\ast }=(r+s{)}^{\ast }$
• C. $r^{\ast }{s}^{\ast }=r^{\ast }+s^{\ast }$
• D. $(r+s{)}^{\ast }=r^{\ast }+s^{\ast }$

Answer 1

The correct option is B $(r^{\ast }{s}^{\ast }{)}^{\ast }=(r+s{)}^{\ast }$

According to identities of regular expression

$(r^{\ast }{s}^{\ast }{)}^{\ast }=(r+s{)}^{\ast }$