(x^2-3x)/(x-2)-[x+3/(2-x)]
=(x^2-3x)/(x-2)+[-x+3/(x-2)]
=(x^2-3x)/(x-2)+[(-x^2+2x+3)/(x-2)]
=(x^2-3x-x^2+2x+3)/(x-2)
=(-x+3)/(x-2)
将x=√3/3代入
原式=(-√3/3+3)/(√3/3-2)
=-(17+√3)/11
(x^2-3x)/(x-2)-[x+3/(2-x)]
=(x^2-3x)/(x-2)+[-x+3/(x-2)]
=(x^2-3x)/(x-2)+[(-x^2+2x+3)/(x-2)]
=(x^2-3x-x^2+2x+3)/(x-2)
=(-x+3)/(x-2)
将x=√3/3代入
原式=(-√3/3+3)/(√3/3-2)
=-(17+√3)/11