D is correct.As the regular expression identity is (a+b)*=(a*b*)*
A. 100 ( ( (00)* (10)* )* 100)* => 100 ( (00 + 10)* 100)*
B. 100 ( ( ( 0+1) 0)* 100 )* => 100 ( (00 + 10)* 100)*
C. 100 ( (00 + 10)* 100)*
D. 100 ( ((0+1)* 0* )* 100)*
Since option A,B,C is same so the only option is different is option (D)