Đáp án + Giải thích các bước giải:
ĐKXĐ : `x \ge 0 , x \ne 1`
`P = 1/(2sqrtx-2) - 1/(2sqrtx+2) - (sqrtx)/(x-1)`
`= 1/(2(sqrtx-1)) - 1/(2(sqrtx+1)) - sqrtx/((sqrtx-1)(sqrtx+1))`
`= (sqrtx+1-(sqrtx-1)-2sqrtx)/(2(sqrtx-1)(sqrtx+1))`
`= (sqrtx+1-sqrtx+1-2sqrtx)/(2(sqrtx-1)(sqrtx+1))`
`= (2-2sqrtx)/(2(sqrtx-1)(sqrtx+1))`
`= (-2(-1+sqrtx))/(2(sqrtx-1)(sqrtx+1))`
`= (-1)/(sqrtx+1)`