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

Toán Lớp 9: X^3-2x^3+x 2x^2 + 4x +2 – y^2 phân tích đa thức thành nhân tử

Toán Lớp 9: X^3-2x^3+x
2x^2 + 4x +2 – y^2
phân tích đa thức thành nhân tử

Comments ( 2 )

  1. Giải đáp:
    x^3-2x^3+x
    = -x^3+x
    = -(x^3-x)
    = -x(x^2-1)
    = -x(x-1)(x+1)
    $\\$
    2x^2+4x+2-y^2
    = 2(x^2+2x+1)-y^2
    = 2(x+1)^2-y^2
    = [sqrt2(x+1)]^2-y^2
    = [sqrt2(x+1)-y][sqrt2(x+1)+y]
    = [sqrt2 x+sqrt2-y][sqrt2 x+sqrt2+y]

  2. $x^3-2x^3+x$
    $=-x^3+x$
    $=x(1-x^2)$
    $=x(1-x)(1+x)$
    $2x^2+4x+2-y^2$
    $=2(x^2+2x+1)-y^2$
    $=(\sqrt{2})^2(x+1)^2-y^2$
    $=(\sqrt{2}x+\sqrt{2}-y)(\sqrt{2}x+\sqrt{2}+y)$
    Hoặc đề sai :
    $x^3-2x^2+x=x(x^2-2x+1)=x(x-1)^2$
    $2x^2+4x+2-2y^2$
    $=2(x^2+2x+1-y^2)$
    $=2[(x+1)^2-y^2]$
    $=2(x+1-y)(x+1+y)$

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