Chapter 8 Rational Functions - 8.6 Solve Rational Equations - 8.6 Exercises - Quiz for Lessons 8.4-8.6 - Page 595: 5

$$=\frac{2x}{\left(x-4\right)\left(x+4\right)}$$

Creating like denominators in order to simplify, we find: $$\frac{x+4}{\left(x-4\right)\left(x+4\right)}+\frac{x-4}{\left(x-4\right)\left(x+4\right)}\\ =\frac{x+4+x-4}{\left(x-4\right)\left(x+4\right)}\\ =\frac{2x}{\left(x-4\right)\left(x+4\right)}$$