`P = A + B`

`= (3sqrtx - 2)/(1 - sqrtx) +  (15sqrtx - 11)/(x + 2sqrtx - 3) - (2sqrtx + 3)/(sqrtx + 3)`

` = (2 - 3sqrtx)/(sqrtx - 1) + (15sqrtx - 11)/(x + 3sqrtx - sqrtx - 3) - (2sqrtx + 3)/(sqrtx + 3)`

` = ((2 - 3sqrtx)(sqrtx + 3))/((sqrtx - 1)(sqrtx+3)) + (15sqrtx - 11)/(sqrtx(sqrtx + 3) - (sqrtx + 3)) - ((2sqrtx + 3)(sqrtx - 1))/((sqrtx - 1)(sqrtx+3))`

` = (-3x - 7sqrtx+ 6)/((sqrtx - 1)(sqrtx+3)) + (15sqrtx - 11)/((sqrtx - 1)(sqrtx+3)) - (2x + sqrtx - 3)/((sqrtx - 1)(sqrtx+3)) `

` = (-3x - 7sqrtx + 6 + 15sqrtx - 11 - 2x - sqrtx + 3)/((sqrtx - 1)(sqrtx+3)) `

` = (-5x + 7sqrtx -2)/((sqrtx - 1)(sqrtx+3)) `

` = (-5x + 5sqrtx + 2sqrtx - 2)/((sqrtx - 1)(sqrtx+3)) `

` = (-5sqrtx(sqrtx -1) + 2(sqrtx-1))/((sqrtx - 1)(sqrtx+3)) `

` = ((sqrtx-1)(-5sqrtx+2))/((sqrtx - 1)(sqrtx+3)) `

` = (-5sqrtx+2)/(sqrtx+3)`