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

Toán Lớp 8: ptđttnt bằng pp đặt ẩn phụ c) (x² + 4x + 8) ² + 3x. ( x² + 4x +8 ) + 2x²

Toán Lớp 8: ptđttnt bằng pp đặt ẩn phụ
c) (x² + 4x + 8) ² + 3x. ( x² + 4x +8 ) + 2x²

Comments ( 2 )

  1. Giải đáp+Lời giải và giải thích chi tiết:
    c) (x^2 + 4x + 8) ^2 + 3x. ( x² + 4x +8 ) + 2x^2
    Đặt t=x^2+4x+8
    =>t^2+3tx+2x^2
    =t^2+2tx+2x^2
    =t(t+2tx)+x(t+2x)
    =(t+x)(t+2x)
    =>(x^2+4x+8+z)(x^2+4x+8+2x)
    =(x^2+5x+8)(x^2+6x+8)
    =(x^2+5x+8)(x^2+2x+4x+8)
    =(x^2+5x+8)[x(x+2)+4(x+2)]
    =(x^2+5x+8)(x+4)(x+2)

  2. c, (x^2 + 4x + 8)^2 + 3x . (x^2 + 4x + 8) + 2x^2
     Đặt a = x^2 + 4x + 8
    => a^2 + 3ax + 2x^2
      = a^2 + 2ax + ax + 2x^2
    = a(a + 2x) + x(a + 2x)
    = (a + x)(a + 2x)
    => (x^2 + 4x + 8 + x)(x^2 + 4x + 8 + 2x)
    = (x^2 + 5x + 8)(x^2 + 6x + 8)
    = (x^2 + 5x + 8)(x^2 + 2x + 4x + 8)
    = (x^2 + 5x + 8)[ x(x + 2) + 4(x + 2)]
    = (x^2 + 5x + 8)(x + 4)(x + 2)

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