化简 [3x/(x+2)-x/(x=2)]÷x/(x^2-4)

问题描述:

化简 [3x/(x+2)-x/(x=2)]÷x/(x^2-4)
化简 [3x/(x+2)-x/(x-2)]÷x/(x^2-4

[3x/(x+2)-x/(x-2)]÷x/(x^2-4)
=[3x(x-2)-x(x+2)]/(x+2)(x-2)*(x^2-4)/x
=(3x^2-6x-x^2-2x)/(x+2)(x-2)*(x^2-4)/x
=(2x^2-8x)/x
=2x-8