phân tích đa thức thành nhân tử (x-y)^3+(y+z)^3-(x-z)^3

Question

phân tích đa thức thành nhân tử (x-y)^3+(y+z)^3-(x-z)^3

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Jezebel 5 years 2020-11-20T07:19:35+00:00 2 Answers 135 views 1

Answers ( )

  1. Nick
    0
    2020-11-20T07:20:43+00:00
    Reply

    $↓$

    $(x-y)³+(y+z)³-(x-z)³$

    $⇔ x³-3x²y+3xy²-y³+y³+3y²z+3yz²+z³-(x³-3x²z+3xz²-z³)$

    $⇔ x³-3x²y+3xy²+3y²z+3yz²+z³+3x²z-3xz²+z³$

    $⇒ -3x²y+3xy²+3y²z+3yz²+2z³+3y²z+3x²z-3xz²$
    Hc tốt!!!!

  2. Orla
    0
    2020-11-20T07:20:51+00:00
    Reply

    (x−y)³+(y+z)³−(x−z)³(x−y)³+(y+z)³−(x−z)³

    ⇔x³−3x²y+3xy²−y³+y³+3y²z+3yz²+z³−(x³−3x²z+3xz²−z³)

    ⇔x³−3x²y+3xy²+3y²z+3yz²+z³+3x²z−3xz²+z³

    ⇒−3x²y+3xy²+3y²z+3yz²+2z³+3y²z+3x²z−3xz²

    ⇒−3x²y+3xy²+3y²z+3yz²+2z³+3y²z+3x²z−3xz²

    Xin câu trả lời hay nhất ạ

     

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