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

Toán Lớp 8: 14. Phân tích thành nhân tử: x ² ( y – z ) + y ² ( z – x ) + z ² ( x – y )

Toán Lớp 8: 14. Phân tích thành nhân tử: x ² ( y – z ) + y ² ( z – x ) + z ² ( x – y )

Comments ( 2 )

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

  2. Giải đáp:
    (x – y)(z – x)(z -y)
    Lời giải và giải thích chi tiết:
    x2(y – z) + y2(z – x) + z2(x – y)
    = z2(x – y) + x2 y – x2 z + y2 z – y2 x
    = z2(x – y) + (x2 y  – y2 x) + (- x2 z + y2 z)
    = (x – y)(z2 + xy – zx – zy)
    = (x – y)[(z2 – zx) + (xy – zy)]
    = (x – y)(z – x)(z -y)
    ĐÂY Ạ.

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

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