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nếu câu trả lời hữu ích nhé!
1523
1116
`(sqrtx - (x + 2)/(sqrtx + 1)) : (sqrtx/(sqrtx + 1) - (sqrtx - 4)/(1 - x))` ĐK `: x >= 0 ; x ne 1`
`= [(sqrtx(sqrtx + 1))/(sqrtx + 1) - (x + 2)/(sqrtx + 1)] : [(sqrtx(sqrtx - 1))/((sqrtx - 1)(sqrtx + 1)) + (sqrtx - 4)/(x - 1)]`
`= (x + sqrtx - x - 2)/(sqrtx + 1) : (x - sqrtx + sqrtx - 4)/((sqrtx - 1)(sqrtx + 1))`
`= (sqrtx - 2)/(sqrtx + 1) : (x - 4)/((sqrtx - 1)(sqrtx + 1))`
`= (sqrtx - 2)/(sqrtx + 1) . ((sqrtx - 1)(sqrtx + 1))/(x - 4)`
`= (sqrtx - 2)/(sqrtx + 1) . ((sqrtx - 1)(sqrtx + 1))/((sqrtx - 2)(sqrtx + 2))`
`= (sqrtx - 1)/(sqrtx + 2)`
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2713
1942
`(\sqrtx - (x + 2)/(\sqrtx + 1)) : ((\sqrtx)/(\sqrtx + 1) - (\sqrtx - 4)/(1 - x))` `(x >= 0 ; x ne 1)`
`=` `(x + \sqrtx - x - 2)/(\sqrtx + 1) : ((x - \sqrtx)/((\sqrtx + 1)(\sqrtx - 1)) + (\sqrtx - 4)/((\sqrtx + 1)(\sqrtx - 1)))`
`=` `(\sqrtx - 2)/(\sqrtx + 1) : (x - \sqrtx + \sqrtx - 4)/((\sqrtx - 1)(\sqrtx + 1))`
`=` `(\sqrtx - 2)/(\sqrtx + 1) . ((\sqrtx - 1)(\sqrtx + 1))/(x - 4)`
`=` `(\sqrtx - 2)/1 . (\sqrtx - 1)/((\sqrtx - 2)(\sqrtx + 2))`
`=` `(\sqrtx - 1)/(\sqrtx + 2)`
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