Simplify: xx+2+4x2−4\frac{x}{x+2} + \frac{4}{x^2-4}x+2x+x2−44 (assume x≠±2x \neq \pm 2x=±2).
x(x−2)+4(x+2)(x−2)\frac{x(x-2)+4}{(x+2)(x-2)}(x+2)(x−2)x(x−2)+4
x2−2x+4(x+2)(x−2)\frac{x^2 - 2x + 4}{(x+2)(x-2)}(x+2)(x−2)x2−2x+4
x+4x−2\frac{x+4}{x-2}x−2x+4
x2−2x+4x2−4\frac{x^2-2x+4}{x^2-4}x2−4x2−2x+4