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

Toán Lớp 8: Kết quả rút gọn phân thức (x-y) mũ 3 -3xy (x+y)+y mũ 3/x-6y

Toán Lớp 8: Kết quả rút gọn phân thức (x-y) mũ 3 -3xy (x+y)+y mũ 3/x-6y

Comments ( 2 )

  1. $\dfrac{\left(x-y\right)^3-3xy\left(x+y\right)+y^3}{x-6y}$
    $=\dfrac{x^3-6x^2y}{x-6y}$
    $=\dfrac{x^2\left(x-6y\right)}{x-6y}$
    $=x^2$
     

  2. Giải đáp:
    [(x – y)^3 – 3xy.(x + y) + y^3]/[x – 6y]
    = [x^3 – 3x^2y + 3xy^2 – y^3 – 3x^2y – 3xy^2 + y^3]/[x – 6y]
    = [x^3 + [(-3x^2y) – 3x^2y] + (3xy^2 – 3xy^2) + [(-y^3) + y^3]]/[x – 6y]
    = [x^3 – 6x^2y]/[x – 6y]
    = [x^2.(x – 6y)]/[x – 6y]
    = [x^2 . \cancel{(x – 6y)}]/[\cancel{x – 6y}]
    = x^2
    #dariana
     

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

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