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

Toán Lớp 8: a,xy-x+y-1/x^2y+xy-x-1 b,x^2+y^2-z^2+2xy/x^2+z^2-y^2-2zx Rút gọn phân thức

Toán Lớp 8: a,xy-x+y-1/x^2y+xy-x-1
b,x^2+y^2-z^2+2xy/x^2+z^2-y^2-2zx
Rút gọn phân thức

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    a, \ (xy-x+y-1)/(x^2y+xy-x-1)
    =(x(y-1)+(y-1))/(xy(x+1)-(x+1))=((x+1)(y-1))/((xy-1)(x+1))
    =(y-1)/(xy-1)
    b, \ (x^2+y^2-z^2+2xy)/(x^2+z^2-y^2-2zx)
    =((x^2+2xy+y^2)-z^2)/((x^2-2zx+z^2)-y^2)
    =((x+y)^2-z^2)/((x-z)^2-y^2)=((x+y-z)(x+y+z))/((x-z-y)(x-z+y))
    =(x+y+z)/(x-z-y)
     

  2. a)
    $=\frac{x(y-1)+y-1}{xy(x+1)-(x+1)}$
    $=\frac{(y-1)(x+1)}{(x+1)(xy-1)}$
    $=\frac{y-1}{xy-1}$
    b)
    $=\frac{(x+y)^2-z^2}{x^2+z^2-y^2-2xz}$
    $=\frac{(x+y-z)(x+y+z)}{(x-z)^2-y^2}$
    $=\frac{(x+y-z)(x+y+z)}{(x-z-y)(x-z+y)}$
    $=\frac{x+y+z}{x-z-y}$ 

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

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