I would question the equation ... are both (s+1) and (s+2) denominator terms ?
what examples of Laplace transformations have you done in class ? I can see a professional using a canned site (who's got time for grunt work ?)
But I would rather a student do the grunt work. At least I would want a student to check the canned solution, something like f(s)*(1/f(s)) = 1 (or whatever, IDK).