Question

$$\frac{ (x-2)+(x+2) }{ (x+2)(x-2) }$$

Answer

(2*x)/((x+2)*(x-2))

Solution


Remove parentheses.
\[\frac{x-2+x+2}{(x+2)(x-2)}\]
Collect like terms.
\[\frac{(x+x)+(-2+2)}{(x+2)(x-2)}\]
Simplify  \((x+x)+(-2+2)\)  to  \(2x\).
\[\frac{2x}{(x+2)(x-2)}\]