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

Toán Lớp 8: Thực hiện phép tính a. $\dfrac{2x-7}{10x-4 }$- $\dfrac{3x+5}{4-10x}$ b. $\dfrac{3}{2x+6 }$ – $\dfrac{x-6}{2x^2+6x}$ c. $\dfrac{3x^2+3x

Toán Lớp 8: Thực hiện phép tính
a. $\dfrac{2x-7}{10x-4 }$- $\dfrac{3x+5}{4-10x}$
b. $\dfrac{3}{2x+6 }$ – $\dfrac{x-6}{2x^2+6x}$
c. $\dfrac{3x^2+3x}{x^3-1 }$-$\dfrac{x+1}{x^2+x+1}$+ $\dfrac{2}{1-x}$

Comments ( 1 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    a) {2x-7}/{10x-4}-{3x+5}/{4-10x}
    ={2x-7}/{10x-4}+{3x+5}/{10x-4}
    ={2x-7+3x+5}/{10x-4}
    ={5x-2}/{10x-4}
    ={5x-2}/{2(5x-2)}
    =1/2
    b) {3}/{2x+6}-{x-6}/{2x^2+6x}
    ={3}/{2(x+3)}-{x-6}/{2x(x+3)}
    ={3x}/{2x(x+3)}-{x-6}/{2x(x+3)}
    ={3x-x+6}/{2x(x+3)}
    ={2x+6}/{2x(x+3)}
    ={2(x+3)}/{2x(x+3)}
    =1/x
    c) {3x^2+3x}/{x^3-1}-{x+1}/{x^2+x+1}+2/{1-x}
    ={3x^2+3x}/{(x-1)(x^2+x+1)}-{(x+1)(x-1)}/{(x-1)(x^2+x+1)}-{2(x^2+x+1)}/{(x-1)(x^2+x+1)}
    ={3x^2+3x-x^2+1-2x^2-2x-2}/{(x-1)(x^2+x+1)}
    ={x-1}/{(x-1)(x^2+x+1)}
    =1/{x^2+x+1}

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

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