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

Toán Lớp 8: $\frac{1}{3y-1}$-$\frac{1}{3y+1}$- $\frac{2y-3}{1-9y{2}}$

Toán Lớp 8: $\frac{1}{3y-1}$-$\frac{1}{3y+1}$- $\frac{2y-3}{1-9y{2}}$

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    1/(3y-1)-1/(3y+1)-(2y-3)/(1-9y^2)   (x $\neq$ ± 1/3)

    = -1/(1-3y)-1/(1+3y)-(2y-3)/((1-3y)(1+3y))

    = ((-1).(1+3y))/((1-3y)(1+3y)) – (1.(1-3y))/((1-3y)(3y+1)) – (2y-3)/((1-3y)(1+3y))

    = (-1-3y-1+3y-2y+3)/((1-3y)(1+3y))

    = (-2y+1)/((1-3y)(1+3y))

  2. 1/(3y-1)-1/(3y+1)-(2y-3)/(1-9y^2)
    =(3y+1)/[(3y+1)(3y-1)]-(3y-1)/[(3y+1)(3y-1)]+(2y-3)/[(3y)^2-1^1]
    =(3y+1)/[(3y+1)(3y-1)]-(3y-1)/[(3y+1)(3y-1)]+(2y-3)/[(3y-1)(3y+1)]
    =(3y+1-3y+1+2y-3)/[(3y+1)(3y-1)]
    =(2y-1)/[(3y+1)(3y-1)]
    ĐK: x $\neq$ ±1/3
     

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