[(X^2-4)/(X^2-4X+4)-(X-2)/(X+2)]÷[X/(X-2)]=[(x-2)(x+2)/(x-2)^2-(x-2)/(x+2)]×(x-2)/x=[(x+2)/(x-2)-(x-2)/(x+2)]×(x-2)/x={[(x+2)^2-(x-2)^2/[(x-2)(x+2)]}×(x-2)/x=8x/[(x-2)(x+2)]}×(x-2)/x=8/(x+2)=8/(2√3-2+2)=4/3√3