We can either recognize the factoring as DOTS Difference of Two Squares and see that the 16 would be 4 x 4 (not 8 x 8). Then by checking the signs of the remaining answers (3) and (4) we would see that answer (4) would give us a trinomial and not the binomial given.
Another way to do this would be to use the TI-84:
Here is answer (1) compared to the original expression, um, not a match!
Below is answer (2) compared to the original expression. Also not a match!!
And now to check answer (3) and from the table voila!! also we only see one graph which means the Y= are the same 🙂