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

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

Tháng Tư 13, 2022 Toán học 2 Comments 0 views

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

Comments ( 2 )

  1. cobexinhdep
    cobexinhdep
    13 Tháng Tư, 2022 at 6:58 sáng
    Reply
    $\\$
    x^2 (y-z)+y^2(z-x)+z^2(x-y)
    =x^2(y-z)+y^2z – xy^2+xz^2-yz^2
    =x^2(y-z) + (y^2z – yz^2) – (xy^2-xz^2)
    =x^2(y-z) + yz (y-z) – x (y-z)(y+z)
    =(y-z)(x^2+yz – xy -xz)
    =(y-z) [x(x-y) – z (x-y)]
    =(x-y)(y-z)(x-z)
     

  2. buithaianh98
    buithaianh98
    13 Tháng Tư, 2022 at 6:58 sáng
    Reply
    x² . (y – z) + y² . (z – x) + z² . (x – y)
    = x² . ( y – z) + y²z – xy² + xz² – yz²
    = x² . (y – z) + ( y²z – yz²) – (xy² – xz²)
    = x² . (y – z) + yz. ( y – z) – x. (y² – z²)
    = x² . ( y – z) + yz. ( y – z) – x. ( y – z) . (y + z)
    = (y – z) . [ x² + yz – x. ( y + z)]
    = (y – z) . ( x² + yz – xy – xz)
    = (y – z) . [(x² – xy) + (yz – xz)]
    = (y – z) . [ x. ( x – y) + z. ( y – x )]
    = (y- z) . [ x. ( x – y) – z. ( x – y)]
    = ( y – z) . ( x – y) . ( x – z)

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

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