Which expression is equal to \left| a-2-\sqrt{(a-1)^{2}}\right| for a\lt0?
3-2a
1-a
1
a+1
3
\because a<0
\therefore |a-2-\sqrt{(a-1)^2}|=|a-2-(1-a)|=|2a-3|=3-2a.
