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

Toán Lớp 8: quy đồng mẫu thức chung x/x^2+4x+4; 2x/x+2; -3x/x^2-4

Toán Lớp 8: quy đồng mẫu thức chung
x/x^2+4x+4; 2x/x+2; -3x/x^2-4

Comments ( 2 )

  1. MSC : (x + 2)^2(x – 2)
    x/(x^2 + 4x + 4)
    = x/( (x + 2)^2 )
    = ( x(x – 2) )/( (x + 2)^2(x – 2) )
    = (x^2 – 2x)/( (x + 2)^2(x – 2) )
    (2x)/(x + 2)
    = ( (2x)(x^2 – 4) )/( (x + 2)(x + 2)(x – 2) )
    = (2x^3 – 8x)/( (x + 2)^2(x – 2) )
    (-3x)/(x^2 – 4)
    = ( (-3x)(x + 2) )/( (x + 2)(x + 2)(x – 2) )
    = ( -3x^2 – 6x)/( (x + 2)^2(x – 2) )
     

  2. Lời giải và giải thích chi tiết:
    Mẫu thức chung : (x + 2)^2(x – 2)
    x/(x^2 + 4x + 4)
    = x/((x + 2)^2)
    = (x(x – 2))/((x + 2)^2(x – 2))
    (2x)/(x + 2)
    = (2x(x + 2)(x – 2))/((x + 2)^2(x- 2))
    (-3x)/(x^2 – 4)
    = (-3x)/((x – 2)(x + 2))
    = (-3x(x + 2))/((x + 2)^2(x – 2))

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

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