You can cancel the (2x + 3) as a common factor provided . Otherwise you're dividing by zero and that's against the rules (on the grounds that everything would be totally insane if you did).
So the answer is , .
So the student is wrong on two counts:
- they don't have the bit.
- they have 3(2x - 3) instead of .
So to solve the problem I'd suggest the student get urgent remedial mathematics help.