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

Toán Lớp 8: Phân tích đa thức thành nhân tử: yz(y+z)+zx(z-x)-xy(x+y)

Toán Lớp 8: Phân tích đa thức thành nhân tử: yz(y+z)+zx(z-x)-xy(x+y)

Comments ( 1 )

  1. $yz(y+z)+zx(z-x)-xy(x+y)$
    $=y^{2}z+yz^{2}+z^{2}x-zx^{2}-x^{2}y-xy^{2}$
    $=(y^{2}z-xy^{2})+(yz^{2}-x^{2}y)+(z^{2}x-zx^{2})$
    $=y^{2}(z-x)+y(z-x)(z+x)+xz(z-x)$
    $=(z-x)[y^{2}+y(z+x)+xz]$
    $=(z-x)(y^{2}+yz+xy+xz)$
    $=(z-x)[y(y+z)+x(y+z)]$
    $=(z-x)(x+y)(y+z)$

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