Answer
$-8$
Work Step by Step
Recall that if $ f $ is a polynomial function, then we have $\lim_\limits{x\to a}f(x)=f(a)$.
In order to to find the limit, we will plug $ a $ into the function and then simplify.
$\lim_\limits {x \to-4} \dfrac{(x+4)(x-4)}{x+4}=\lim_\limits {x \to-4}(x-4)=-4-4$
or, $=-8$
