equality of regular expressions

Question

Q)

which of the following pair of regular expressions are equal

a)(0+1)* & 0* + 1*

b)∅* & ∅*

c)0(120)*12 & 01(201)*2

d)None of the above

answer given is option C which i got why.The problem is what is wrong with option B deemed to be true?? .also is 010 present in

0* +1*??

.

Answer 1

option B is right and also C .

option A is wrong .

0* +1 *  produced this type of string (0,00,000,000,000000,1,111,11111,11111111) either no. of 0 or 1`s .

Answer 2

generate strings from each regex and check 

Answer 3

Option b and c are right. 

Answer 4

0* + 1* can never generate 10 as string while (0+1)* can generate .

option b and c are correct