Question 201024
*[Tex \LARGE -\frac{2}{x+2}+\frac{5}{x-2}+\frac{x+3}{x^2-4}]



*[Tex \LARGE -\frac{2}{x+2}+\frac{5}{x-2}+\frac{x+3}{(x+2)(x-2)}]



*[Tex \LARGE -\frac{2(x-2)}{(x+2)(x-2)}+\frac{5}{x-2}+\frac{x+3}{(x+2)(x-2)}]



*[Tex \LARGE -\frac{2(x-2)}{(x+2)(x-2)}+\frac{5(x+2)}{(x+2)(x-2)}+\frac{x+3}{(x+2)(x-2)}]



*[Tex \LARGE -\frac{2x-4}{(x+2)(x-2)}+\frac{5x+10}{(x+2)(x-2)}+\frac{x+3}{(x+2)(x-2)}]



*[Tex \LARGE \frac{-(2x-4)+5x+10+x+3}{(x+2)(x-2)}]



*[Tex \LARGE \frac{-2x+4+5x+10+x+3}{(x+2)(x-2)}]



*[Tex \LARGE \frac{4x+17}{(x+2)(x-2)}]



Answer: *[Tex \LARGE -\frac{2}{x+2}+\frac{5}{x-2}+\frac{x+3}{x^2-4}=\frac{4x+17}{(x+2)(x-2)}]