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How to do the problem 13 in the middle school entrance examination of mathematics in Urumqi in 2009?
(x^2+4x+4)/(x^2-4)-x/(x-2)

First decompose it into (x+2)(x-2), then divide it and calculate it.

(x^2+4x+4)/((x+2)(x-2))-(x(x+2))/((x+2)(x-2))

=(2x+4)/((x+2)(x-2))

=2/(x-2)