Đáp án + Giải thích các bước giải:
`(\sqrtx+3)/(\sqrtx+1)-5/(1-\sqrtx)+4/(x-1)(x\ge0;x\ne1)`
`=(\sqrtx+3)/(\sqrtx+1)+5/(\sqrtx-1)+4/(x-1)`
`=((\sqrtx+3)(\sqrtx-1))/(x-1)+(5(\sqrtx+1))/(x-1)+4/(x-1)`
`=(x+2\sqrtx-3+5\sqrtx+5+4)/(x-1)`
`=(x+7\sqrtx+6)/(x-1)`
`=(x+\sqrtx+6\sqrtx+6)/(x-1)`
`=(\sqrtx(\sqrtx+1)+6(\sqrtx+1))/(x-1)`
`=((\sqrtx+1)(\sqrtx+6))/((\sqrtx+1)(\sqrtx-1))`
`=(\sqrtx+6)/(\sqrtx-1)`
