>>263
(x^2)-5x+6 = (x-2)(x-3)
(x^2)-4x+3 = (x-3)(x-1)
(x^2)-3x+2 = (x-1)(x-2)

{(2x+1)/((x^2)-5x+6)}-{(3x-1)/((x^2)-4x+3)}+{x/((x^2)-3x+2)}
= {(2x+1)(x-1)-(3x-1)(x-2)+x(x-3)}/{(x-1)(x-2)(x-3)}
= (3x-3)/{(x-1)(x-2)(x-3)}
= 3/{(x-2)(x-3)}