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

Toán Lớp 8: 9/25x^4-1/4 16x^8-1 4x^2+4x+1 x^2-20x+100

Toán Lớp 8: 9/25x^4-1/4
16x^8-1
4x^2+4x+1
x^2-20x+100

Comments ( 2 )

  1. a) (9/25)x^4-1/4
    =(3/5x-1/2)(3/5x+1/2)
    b) 16x^8-1
    =(4x^4-1)(4x^4+1)
    =(2x^2-1)(2x^2+1)(4x^2+1)
    c) 4x^2+4x+1
    =(2x+1)^2
    d) x^2-20x+100
    =(x-10)^2
     

  2. Giải đáp:
    9/25x^4-1/4
    = (3/5x^2)^2-(1/2)^2
    =(3/5x^2-1/2)(3/5x^2+1/2)
    $\\$
    16x^8-1
    = (4x^4)^2-1^2
    = (4x^4-1)(4x^4+1)
    = (2x^2-1)(2x^2+1)(4x^2+1)
    $\\$
    4x^2+4x+1
    = (2x)^2+2.2x.1+1^2
    = (2x+1)^2
    $\\$
    x^2-20x+100
    = x^2-2.x.10+10^2
    = (x-10)^2

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

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