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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 9: 2√x -9 √x + 3 2√x +1 ===– – ==- + === x-5√x +6 √x -2

Toán Lớp 9: 2√x -9 √x + 3 2√x +1
———– – ——- + ———
x-5√x +6 √x -2 3-√x
Giúp em rút gọn cái này với ạ
Thanks.

Comments ( 1 )

  1. Lời giải và giải thích chi tiết:
     (2sqrtx-9)/(x-5sqrtx+6)-(sqrtx+3)/(sqrtx-2)+(2sqrtx+1)/(3-sqrtx) (x ne 4;9)
    =(2sqrtx-9)/(x-5sqrtx+6)-(sqrtx+3)/(sqrtx-2)-(2sqrtx+1)/(sqrtx-3)
    =(2sqrtx-9)/((sqrtx-2)(sqrtx-3))-((sqrtx+3)(sqrtx-3))/((sqrtx-2)(sqrtx-3))-((2sqrtx+1)(sqrtx-2))/((sqrtx-2)(sqrtx-3))
    =(2sqrtx-9)/((sqrtx-2)(sqrtx-3))-(x-9)/((sqrtx-2)(sqrtx-3))-(2x-3sqrtx-2)/((sqrtx-2)(sqrtx-3))
    =(2sqrtx-9-x+9-2x+3sqrtx+2)/((sqrtx-2)(sqrtx-3))
    =(-3x+5sqrtx+2)/((sqrtx-2)(sqrtx-3))
    =((sqrtx-2)(-3sqrtx-1))/((sqrtx-2)(sqrtx-3))
    =-(3sqrtx+1)/(sqrtx-3)

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222-9+11+12:2*14+14 = ? ( )

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