Упростите выражение (2/х^2-4+1/2x-x^2):1/х^2+4х+4

[latex]\displaystyle ( \frac{2}{(x^2-4)}+ \frac{1}{2x-x^2}): \frac{1}{x^2+4x+4}= [/latex] [latex]\displaystyle ( \frac{2}{(x-2)(x+2)}+ \frac{1}{x(2-x)})* (x+2)^2= [/latex] [latex]\displaystyle ( \frac{2}{(x-2)(x+2)}+ \frac{1}{-x(x-2)})*(x+2)^2 =[/latex] [latex]\displaystyle \frac{2x-(x+2)}{x(x-2)(x+2)}* (x+2)^2= \frac{x-2}{x(x-2)(x+2)}*(x+2)^2= [/latex] [latex]\displaystyle \frac{1}{x(x+2)}*(x+2)^2= \frac{x+2}{x} [/latex]