First, let's focus on the expression we need A and B to be equal to.
In order to find what we need, we need to be able to compare coefficients. let's convert it to standard form.
We have
(x−2)(x+2)=x2−4
However, the constans don't match. Thus, we need to divide what we have by -4 to get a constant of +1.
We have
−14x2+1
Now. we cam compare coefficients. Since A is the coefficient of x^2, we have
A=−14
Since B is the coefficient of x, we have B=0
Thus, we finally have A+B=−14+0=−14
So -1/4 is our final answer.
Thanks! :)