化简,x²+4x /(2x-4)(x+4)-x+2/x² -4

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化简,x²+4x /(2x-4)(x+4)-x+2/x² -4

x²+4x /(2x-4)(x+4)-x+2/x² -4
=x(x+4)/2(x-2)(x+4)-(x+2)/(x+2)(x-2)
=x/2(x-2)-1/(x-2)
=x/2(x-2)-2/2(x-2)
=(x-2)/2(x-2)
=1/2

原式=x(x+4)/2(x-2)(x+4)-(x+2)/(x+2)(x-2)
=x/2(x-2)-1/(x-2)
=(x-2)/2(x-2)
=1/2

x²+4x /(2x-4)(x+4)-x+2/x² -4
=【x(x+4)】/[2(x-2)(x+4)]-(x+2)/[(x+2)(x-2)]
=x/2(x-2)-1/(x-2)
=(x-2)/[2(x-2)]
=1/2