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`P=(1/(1+2sqrtx)+2/(1-2sqrtx)+(3sqrtx)/(4x-1)):(sqrtx-3)/(4x+4sqrtx+1)-1 \ (xge0,xne1/4)`
`P=(1/(1+2sqrtx)+2/(1-2sqrtx)-(3sqrtx)/(1-4sqrtx)) : (sqrtx-3)/(2sqrtx+1)^2-1`
`P=(1/(1+2sqrtx)+2/(1-2sqrtx)-(3sqrtx)/((1-2sqrtx)(1+2sqrtx))) . (2sqrtx+1)^2/(sqrtx-3)-1`
`P=((1-2sqrtx)+2(1+2sqrtx)-3sqrtx)/((1-2sqrtx)(1+2sqrtx)) . (2sqrtx+1)^2/(sqrtx-3)-1`
`P=(1-2sqrtx+2+4sqrtx-3sqrtx)/((1-2sqrtx)(1+2sqrtx)) . (2sqrtx+1)^2/(sqrtx-3)-1`
`P=(3-sqrtx)/((1-2sqrtx)(1+2sqrtx)) . (2sqrtx+1)^2/(sqrtx-3)-1`
`P=(-(sqrtx-3))/((1-2sqrtx)(1+2sqrtx)) . (2sqrtx+1)^2/(sqrtx-3)-1`
`P=(-(2sqrtx+1))/(1-2sqrtx)-1`
`P=(-2sqrtx-1-(1-2sqrtx))/(1-2sqrtx)`
`P=(-2sqrtx-1-1+2sqrtx)/(1-2sqrtx)`
`P=(-2)/(1-2sqrtx)`
`P=2/(2sqrtx-1)`
Vậy `P=2/(2sqrtx-1)`
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Đáp án:
Giải thích các bước giải:
`P=(1/(1+2sqrtx)+2/(1-2sqrtx)+(3sqrtx)/(4x-1)):((sqrtx-3)/(4x+4sqrtx+1))(x>=0;x ne 1/4)`
`P=(1/(2sqrtx+1)-2/(2sqrtx-1)+(3sqrtx)/((2sqrtx-1)(2sqrtx+1))):((sqrtx-3)/((2sqrtx+1)^2))`
`P=(((2sqrtx-1)-2(2sqrtx+1)+3sqrtx))/((2sqrtx-1)(2sqrtx+1)):((sqrtx-3)/((2sqrtx+1)^2))`
`P=(2sqrtx-1-4sqrtx-2+3sqrtx)/((2sqrtx-1)(2sqrtx+1))*((2sqrtx+1)^2)/(sqrtx-3)`
`P=(sqrtx-3)/((2sqrtx-1)(2sqrtx+1))*((2sqrtx+1)^2)/(sqrtx-3)`
`P=(2sqrtx+1)/(2sqrtx-1)`
Vậy `P=(2sqrtx+1)/(2sqrtx-1)(x>=0;x ne 1/4)`
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