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

Toán Lớp 8: (x^2-x+2)*(2x-3) (x^2-2xy-y^2)*(x-y) (x^2-3xy+y^5)*(x+y) (x-5)*(x^2-6x+1)

Toán Lớp 8: (x^2-x+2)*(2x-3)
(x^2-2xy-y^2)*(x-y)
(x^2-3xy+y^5)*(x+y)
(x-5)*(x^2-6x+1)

Comments ( 2 )

  1. (x^2-x+2)(2x-3)
    =2x³-3x²-2x²+3x+4x-6
    =2x³-5x²+7x-6
    (x²-2xy-y²)(x-y)
    =x³-x²y-2x²y+2xy²-xy²+y³
    =x³-3x²y+xy²+y³
    (x²-3xy+y^5)(x+y)
    =x³+x²y-3x²y-3xy²+xy^5+y^6
    =x^3-2x²y+xy^5-3xy²+y^6
    (x-5)(x²-6x+1)
    =x³-6x²+x-5x+30x-5
    =x³-6x²+26x-5

  2. $(x^2-x+2)(2x-3)$
    $=2x^3-3x^2-2x^2+3x+4x-6$
    $=2x^3-5x^2+7x-6$
    ———————
    $(x^2-2xy-y^2)(x-y)$
    $=(x-y)(x^2-2xy-y^2)$
    $=x^3-2x^2y-xy^2-x^2y+2xy^2+y^3$
    $=x^3-3x^2y+xy^2+y^3$
    ————————–
    $(x^2-3xy+y^5)(x+y)$
    $=(x+y)(x^2-3xy+y^5)$
    $=x^3-3x^2y+xy^5+x^2y-3xy^2+y^6$
    $=x^3-2x^2y+xy^5-3xy^2+y^6$
    —————————
    $(x-5)(x^2-6x+1)$
    $=x^3-6x^2+x-5x^2+30x-5$
    $=x^3-11x^2+31x-5$
     

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

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