Let's break this expression into simpler form -
Take x=(0+11*0)
y=(10+10*1)
Your equation now becomes
x+xy*y
Now simplifying this becomes
=>x($\epsilon$ + y*y)
=>x($\epsilon$ + y+)
=>x(y*)
=>(0+11*0)(10+10*1)*
Now simplifying the x again
(0+11*0)=($\epsilon$+11*)0
=($\epsilon$+1+)0
=(1*)0
Thus the final simplified regular expression will be
(1*0)(10+10*1)*