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

Toán Lớp 8: phân tích thành nhân tử: x^3y-2x^2y^2+5xy 2x^2(x+1)+4x(x+1) 2/5x(y-1)-2/5y(1-y)

Toán Lớp 8: phân tích thành nhân tử:
x^3y-2x^2y^2+5xy
2x^2(x+1)+4x(x+1)
2/5x(y-1)-2/5y(1-y)

Comments ( 2 )

  1. Hướng dẫn trả lời:
    a) x^3y – 2x^2y^2 + 5xy
    = xycdotx^2 + xycdot(- 2xy) + xycdot5
    = xycdot(x^2 – 2xy + 5)
    b) 2x^2cdot(x + 1) + 4xcdot(x + 1)
    = (2x^2 + 4x)cdot(x + 1)
    = (2xcdotx + 2xcdot2)cdot(x + 1)
    = 2xcdot(x + 2)cdot(x + 1)
    c) 2/5xcdot(y – 1) – 2/5ycdot(1 – y)
    = 2/5xcdot(y – 1) – 2/5ycdot[- (y – 1)]
    = 2/5xcdot(y – 1) + 2/5ycdot(y – 1)
    = (2/5x + 2/5y)cdot(y – 1)
    = 2/5cdot(x + y)cdot(y – 1)
    Giải đáp:
    a) = xycdot(x^2 – 2xy + 5)
    b) = 2xcdot(x + 2)cdot(x + 1)
    c) = 2/5cdot(x + y)cdot(y – 1)

  2. x^3y – 2x^2y^2 + 5xy
    = xy(x^2 – 2xy + 5)
    2x^2(x + 1) + 4x(x + 1)
    = (x + 1)(2x^2 + 4x)
    = (x + 1) . 2x(x + 2)
    = 2x(x + 1)(x + 2)
    2/5x(y – 1) – 2/5 y(1 – y)
    = 2/5x(y – 1) + 2/5 y(y – 1)
    = 2/5(y – 1)(x + y)

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