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

Toán Lớp 8: Phân tích đa thức thành nhâ tử: 2x ³+3x ²-1

Toán Lớp 8: Phân tích đa thức thành nhâ tử:
2x ³+3x ²-1

Comments ( 2 )

  1. Giải đáp:
     $2x³+3x²-1$
    $= 2x³+2x²+x²-1$
    $= 2x².(x+1)+(x-1).(x+1)$
    $= (x+1).(2x²+x-1)$
    $= (x+1).(2x-1).(x+1)$
    $= (x+1)².(2x-1)$
     

  2. 2x^3  + 3x^2 – 1
    = (2x^3 + 2x^2) + (x^2 – 1)
    =  2x^2 (x+1)  + (x+1)(x-1)
    = (2x^2 + x – 1)(x+1)
    = (2x^2 + 2x – x -1)(x+1)
    =  [ 2x (x+1) – (x+1)] (x+1)
    = (2x-1)(x+1)(x+1)
    =  (2x-1)(x+1)^2
     

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

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