把x^2y-y^3-2xyz+yz^2进行因式分解

1个回答

  • 第一题x^2y-y^3-2xyz+yz^2

    =y(x²-y²-2xz+z²)

    =y[(x-z)²-y²]

    =y(x+y-z)(x-y-z)

    第二题m^2-4mn+4n^2-4

    =(m-2n)²-2²

    =(m-2n+2)(m-2n-2)

    第三题ax^2-ay^2+a^2x-a^2y

    =a(x²-y²+ax-ay)

    =a[(x+y)(x-y)+a(x-y)]

    =a(x+y+a)(x-y)

    第四题a^2b^2-a^2-2ab-b^2

    =(ab)²-(a²+2ab+b²)

    =(ab)²-(a+b)²

    =(ab+a+b)(ab-a-b)