分解因式各种题目.-18x²(a-b)-12y²(b-a)9(x+y)²-4(x-y)

1个回答

  • -18x²(a-b)-12y²(b-a)

    = 12y²(a-b)-18x²(a-b)

    =6(a-b)(2y²-3x²)

    =6(a-b)(√2y+√3x)(√2y-√3x)

    9(x+y)²-4(x-y)²

    =[3(x+y)+2(x-y)][3(x+y)-2(x-y)]

    =(5x+y)(x+5y)

    (a²+b²)²-4a²b²

    =(a²+b²+2ab)(a²+b²-2ab)

    =(a+b)²(a-b)²

    -2m²+36mn-162n²

    =-2(m²-18mn+81)

    =-2(m-9)²

    (a²+b²)²-4a²b²

    =(a²+b²+2ab)(a²+b²-2ab)

    =(a+b)²(a-b)²