Упростить выражение: 1/х+1 - 2/х-2 +3/х-1

(x-2 -2(x+1)) /(x-2)(x+1) + 3/(x-1) ==(x -2 -2x -2) /(x-2)(x+1) + 3/(x-1) ==((-x -4)(x-1) +3(x-2)(x-1)) /(x²-1)(x-2) ==(-x²+x-4x+4 +3(x²-x-2x+2)) /(x²-1)(x-2) ==(-x²-3x+4 +3x²-9x+6) /(x²-1)(x-2) ==(2x²-12x+10) /(x²-1)(x-2) ==(2*(x-1)(x-5)) /(x-1)(x+1)(x-2) ==(2*(x-5)) /(x+1)(x-2) =(2x -10) /(x+1)(x-2)