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

Toán Lớp 8: `{y}/{x-y}+{2xy}/{x^2-y^2}+{x}/{x+y}`

Toán Lớp 8: {y}/{x-y}+{2xy}/{x^2-y^2}+{x}/{x+y}

Comments ( 1 )

  1. Answer
    y/{x – y} + {2xy}/{x^2 – y^2} + x/{x + y}
    = y/{x – y} + {2xy}/{(x – y) . (x + y)} + x/{x + y}
    = {y . (x + y)}/{(x – y) . (x + y)} + {2xy}/{(x – y) . (x + y)} + {x . (x – y)}/{(x – y) . (x + y)}
    = {xy + y^2}/{(x – y) . (x + y)} + {2xy}/{(x – y) . (x + y)} + {x^2 – xy}/{(x – y) . (x + y)}
    = {(xy + y^2) + 2xy + (x^2 – xy)}/{(x – y) . (x + y)}
    = {xy + y^2 + 2xy + x^2 – xy}/{(x – y) . (x + y)}
    = {x^2 + 2xy + y^2 + (xy – xy)}/{(x – y) . (x + y)}
    = {x^2 + 2xy + y^2}/{(x – y) . (x + y)}
    = {(x + y)^2}/{(x – y) . (x + y)}
    = {x + y}/{x – y}

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