Answer:
I agree with Sharon's teacher and I believe that the factoring of x^2 + 81 as (x+9)(x-9) is incorrect because the difference of two squares method can only be used to factor polynomials of the form x^2 - a^2, and not x^2 + a^2.
Explanation:
The correct answer is x^2 + 81 can be factored as (x + 9)(x + 9) using the trinomial method.