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

Toán Lớp 9: √y-1/y^2-y : (1/√y – 1/√y+1) rút gọn biểu thức

Toán Lớp 9: √y-1/y^2-y : (1/√y – 1/√y+1) rút gọn biểu thức

Comments ( 1 )

  1. Giải đáp:
    ĐKXĐ : y \ne 1; y >0.
    (\sqrt{y}-1)/(y^(2)-y):(1/(\sqrt{y})-1/(\sqrt{y}+1))
    =(\sqrt{y}-1)/(y^(2)-y):((\sqrt{y}+1)/[(\sqrt{y}).(\sqrt{y}+1)]-(\sqrt{y})/[\sqrt{y}.(\sqrt{y}+1)])
    =(\sqrt{y}-1)/(y^(2)-y):((\sqrt{y}+1-\sqrt{y})/[(\sqrt{y}).(\sqrt{y}+1)])
    =(\sqrt{y}-1)/(y.(y-1)):1/(\sqrt{y}.(\sqrt{y}+1)]
    =[\sqrt{y}.(\sqrt{y}-1)(\sqrt{y}+1)]/[y(\sqrt{y}-1).(\sqrt{y}+1)]
    =(\sqrt{y})/y
     

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

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