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

Toán Lớp 8: 2, Viết các biểu thức sau về dạng tích: a, x^2-9 b, x^3-27y^3 c, 4x^2+4xy+y^2 d, -9x^2+12x-4 e, 8x^3+1 g, x^3-3x^2+3x-1 h, -x^3+12x^2-4

Toán Lớp 8: 2, Viết các biểu thức sau về dạng tích:
a, x^2-9
b, x^3-27y^3
c, 4x^2+4xy+y^2
d, -9x^2+12x-4
e, 8x^3+1
g, x^3-3x^2+3x-1
h, -x^3+12x^2-48x+64
CTLHN LUÔN @@

Comments ( 2 )

  1. a) x^2-9=(x-3)(x+3)
    b) x^3-27y^3=x^3-(3y)^3=(x-3y)(x+3y)
    c) 4x^2+4xy+y^2=(2x)^2+2.2x.y+y^2=(2x+y)^2
    d) -9x^2+12x-4=-(9x^2-12x+4)=-[(3x)^2-2.3x.2+2^2]=-(3x-2)^2
    e) 8x^3+1=(2x)^3+1^3=(2x+1)(4x^2-2x+1)
    g) x^3-3x^2+3x-1=(x-1)^3
    h) -x^3+12x^2-48x+64=-x^3+3.x^2.4-3.x.4^2+4^3=(-x+4)^3

  2. Giải đáp:
     Bài 2:
    a, x^2 – 9
    = x^2 – 3^2
    = (x – 3)(x + 3)
    b, x^3 – 27y^3
    = x^3 – (3y)^3
    = (x – 3y)(x^2 + 3xy + 9^2)
    c, 4x^2 + 4xy + y^2
    = (2x)^2 + 2 . 2x . y + y^2
    = (2x + y)^2
    d, -9x^2 + 12x – 4
    = – (9x^2 – 12x + 4)
    = -( (3x)^2 – 2 . 3x . 2 + 2^2)
    = -( 3x – 2)^2
    e, 8x^3 + 1
    = (2x)^3 + 1^3
    = (2x  + 1)(4x^2 – 2x + 1)
    g, x^3 – 3x^2 + 3x – 1
    = x^3 – 3x^2 . 1 + 3x . 1 – 1^3
    = (x – 1)^3
    h, -x^3 + 12x^2 – 48x + 64
    = -(x^3 – 12x^2 + 48x – 64)
    = -(x^3 – 3x^2 . 4 + 3x . 4^2 – 4^3)
    = -(x – 4)^3
     

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

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