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

Toán Lớp 8: ptđt thành nhân tử a)2x^3-8x^2+8x b)2xy+2x+yz+z c)x^2-y^2+2x+1

Toán Lớp 8: ptđt thành nhân tử
a)2x^3-8x^2+8x
b)2xy+2x+yz+z
c)x^2-y^2+2x+1

Comments ( 2 )

  1. a) 2x^3 – 8x^2 + 8x
    = 2x.x^2 – 2x.4x + 2x.4
    = 2x(x^2 – 4x + 4)
    = 2x(x^2-2.2.x+2^2)
      = 2x(x-2)^2
    b) 2xy + 2x + yz+z
    = (2xy+2x) + (yz+z)
    = 2x(y+1) + z(y+1)
    = (y+1)(2x+z)
    c) x^2 – y^2 + 2x + 1
    = (x^2 +2x + 1) – y^2
    = (x^2 + 2.x.1+1^2)-y^2
    = (x+1)^2 – y^2
    = (x+1-y)(x+1+y)

  2. a) 2x^3-8x^2+8x
    =2x(x^2-4x+4)
    =2x(x-2)^2
    =2x(x-2)(x-2)
    b) 2xy+2x+yz+z
    =2x(y+1)+z(y+1)
    =(2x+z)(y+1)
    c) x^2-y^2+2x+1
    = -y^2 + x^2+2x+1
    =-y^2 + (x+1)^2
    = -[y^2 – (x+1)^2]
    =-(y-x-1)(y+x+1)

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

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