[(x+2)/(x*x-2x)-(x-2)/(x*x-4x+4)]/[(x-4)/x]=[(x+2)/x(x-2)-(x-2)/(x-2)²]/[(x-4)/x]=[(x²-4-x²+2x)/x(x-2)²]/[(x-4)/x]=2(x-2)/x(x-2)²÷[(x-4)/x]=2/[(x-2)(x-4)]
[(x+2)/(x*x-2x)-(x-2)/(x*x-4x+4)]/[(x-4)/x]=[(x+2)/x(x-2)-(x-2)/(x-2)²]/[(x-4)/x]=[(x²-4-x²+2x)/x(x-2)²]/[(x-4)/x]=2(x-2)/x(x-2)²÷[(x-4)/x]=2/[(x-2)(x-4)]