因式分解,下列各题.因式分解(1)-27mn+9m² n-18mn(2)9x² -4y²

2个回答

  • (1)-27mn+9m² n-18mn

    =9m²n-45mn

    =9mn(m-5)

    (2)9x² -4y²

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

    (3)2x² -4x+2

    =2(x²-2x+1)

    =2(x-1)²

    (4)x² -y² +2x+2y

    =(x+y)(x-y)+2(x+y)

    =(x+y)(x-y+2)

    (5)ax² -bx² +bx-ax+a-b

    =x²(a-b)-x(a-b)+(a-b)

    =(a-b)(x²-x+1)

    (6)x² -2x-8

    =(x+2)(x-4)

    (7)3x² +2x-1

    =(3x-1)(x+1)

    (8)ma-mb+2a-2b

    =m(a-b)+2(a-b)

    =(a-b)(m+2)

    (9)3x² -12x³ y+12xy²

    =3x(x-4x²y+4y²)

    本题可能有误

    估计是:3x³-12x²y+12xy²=3x(x²-4xy+4y²)=3x(x-2y)²

    (10)a² -2ab+b² -1

    =(a-b)²-1

    =(a-b+1)(a-b-1)