[(x+2)/(x²+2x)-(x-1)/(x²-4x+4)]÷(x-4)/x
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[(x+2)/(x²+2x)-(x-1)/(x²-4x+4)]÷(x-4)/x
[(x+2)/(x²+2x)-(x-1)/(x²-4x+4)]÷(x-4)/x
[(x+2)/(x²+2x)-(x-1)/(x²-4x+4)]÷(x-4)/x
[(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)]