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

Toán Lớp 8: Phân tích đa thức sau thành nhân tử: a) x^3-x b) x^2+4y^2+4xy c)x^2-2xy+y^2-z^2 d) 5x^2-10xy+5y^2-20z^2

Toán Lớp 8: Phân tích đa thức sau thành nhân tử:
a) x^3-x
b) x^2+4y^2+4xy
c)x^2-2xy+y^2-z^2
d) 5x^2-10xy+5y^2-20z^2

Comments ( 2 )

  1. a)x³-x=x(x²-1)
    b)x²+4y²+4xy=x²+(2x)²+2×2y×x
                          =(x+2x)²
    c)x²-2xy+y²-z²=(x²-2xy+y²)-z²
                           =(x-y)²-z²
                           =[(x-y)-z][(x-y)+z]
                           =(x-y-z)(x-y+z)
    d)5x²-10xy+5y²-20z²=5(x²-2xy+y²-4z²)
                                     =5[(x²-2xy+y²)-(2z)²]
                                     =5[(x-y)²-(2z)²]
                                     =5[(x-y)-2z][(x-y)+2z]
                                     =5(x-y-2z)(x-y+2z)

  2. a) x^3-x
    =x.x.x-x
    =x(x^2-1)
    =x(x-1)(x+1)
    b) x^2+4y^2+4xy
    =x^2+4xy+4y^2
    =(x+2y)^2
    c) x^2-2xy+y^2-z^2
    =(x^2-2xy+y^2)-z^2
    =(x-y)^2-z^2
    =(x-y-z)(x-y+z)
    d) 5x^2-10xy+5y^2-20z^2
    =5(x^2-2xy+y^2-4z^2)
    =5[(x^2-2xy+y^2)-4z^2]
    =5[(x-y)^2-(2z)^2]
    =5(x-y-2z)(x-y+2z)
     

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