1) 3x ²+ 6xy 2) 10 x ²y + 15xy² 3) x ³ – x + 2x ²y-2y 4) x ² – y ² + 2x + 2y

1) 3x ²+ 6xy
2) 10 x ²y + 15xy²
3) x ³ – x + 2x ²y-2y
4) x ² – y ² + 2x + 2y

2 bình luận về “1) 3x ²+ 6xy 2) 10 x ²y + 15xy² 3) x ³ – x + 2x ²y-2y 4) x ² – y ² + 2x + 2y”

  1. 1, 3x^2 + 6xy
    = 3x(x + 2y)
    2, 10x^2 y + 15xy^2
    = 5xy(2x + 3y)
    3, x^3 – x + 2x^2 y – 2y
    = x(x^2 – 1) + 2y(x^2 – 1)
    = (x + 2y)(x^2 – 1)
    = (x + 2y)(x – 1)(x + 1)
    4, x^2 – y^2 + 2x + 2y
    = (x – y)(x + y) + 2(x + y)
    = (x + y)(x – y + 2)

    Trả lời
  2. 1)3x^2+6xy=3x(x+2y)
    2)10x^2y+15xy^2=5xy(2x+3y)
    3)x^3-x+2x^2y-2y
    =(x^3-x)+(2x^2y-2y)
    =x(x^2-1)+2y(x^2-1)
    =(x^2-1)(x+2y)
    =(x-1)(x+1)(x+2y)
    4)x^2-y^2+2x+2y
    =(x^2-y^2)+(2x+2y)
    =(x+y)(x-y)+2(x+y)
    =(x+y)(x-y+2)

    Trả lời

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