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

Toán Lớp 8: x:x-2+ 2-x:x+2+ 12-10x:x^2-4 giúp mik vs

Toán Lớp 8: x:x-2+ 2-x:x+2+ 12-10x:x^2-4 giúp mik vs

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
     Với x\ne±2
    Ta có:
    x/(x-2)+(2-x)/(x+2)+(12-10x)/(x^2-4)
    =x/(x-2)+(2-x)/(x+2)+(12-10x)/((x-2)(x+2))
    =(x(x+2)+(2-x)(x-2)+12-10x)/((x-2)(x+2))
    =(x^2+2x+(2x-4-x^2+2x)+12-10x)/((x-2)(x+2))
    =(x^2+2x-x^2+4x-4+12-10x)/((x-2)(x+2))
    =((x^2-x^2)+(2x+4x-10x)+(-4+12))/((x-2)(x+2))
    =(-4x+8)/((x-2)(x+2))
    =(-4(x-2))/((x-2)(x+2))
    =-4/(x+2)

  2. x/(x-2)+(2-x)/(x+2)+(12-10x)/(x^{2}-4)
    =x/(x-2)+(2-x)/(x+2)+(12-10x)/((x-2)(x+2))
    =(x(x+2)+(2-x)(x-2)+12-10x)/((x-2)(x+2))
    =(x^{2}+2x-x^{2}+4x-4+12-10x)/((x+2)(x-2))
    =(8-4x)/((x-2)(x+2))
    =(4(2-x))/((x+2)(x-2))
    =-4/(x+2)
     

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

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