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

Toán Lớp 8: (x bình + 2x)(x bình + 2x -2) -3 phân tử phân tích

Toán Lớp 8: (x bình + 2x)(x bình + 2x -2) -3
phân tử phân tích

Comments ( 2 )

  1. (x^2+2x)(x^2+2x-2)-3
    =x^2.(x^2+2x-2)+2x.(x^2+2x-2)-3
    =x^4+2x^3-2x^2+2x^3+4x^2-4x-3
    =x^4+4x^3+2x^2-4x-3
    =x^4+5x^3+7x^2+3x-1x^3-5x^2-7x-3
    =x.(x^3+5x^2+7x+3)-1.(x^3+5x^2+7x+3)
    =(x^3+5x^2+7x+3)(x-1)
    =(x-1)(x+1)^2(x+3)

  2. Lời giải và giải thích chi tiết:
    $(x^2+2x)(x^2+2x-2)-3$
    $=(x^2+2x-1+1)(x^2+2x-1-1)-3$
    $=(x^2+2x-1)^2-1-3$
    $=(x^2+2x-1)^2-4$
    $=(x^2+2x-1-2)(x^2+2x-1+2)$
    $=(x^2+2x-3)(x^2+2x+1)$
    $=(x^2+3x-x-3)(x+1)^2$
    $=[x(x+3)-(x+3)](x+1)^2$
    $=(x-1)(x+3)(x+1)^2$
    @Deawoo 
    Xin câu trả lời hay nhất 

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

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