因式分解请帮下忙!因式分解:1.(x+y)²-4(x+y)-12 2.x²+(k+2)x+(k+1)

2个回答

  • 1.(x+y)²-4(x+y)-12

    =(x+y-6)(x+y+2)

    2.x²+(k+2)x+(k+1)

    =(x+k+1)(x+1)

    3.(x²+3x)²-8(x²+3x)-20

    =(x²+3x-10)(x²+3x+2)

    =(x²+3x-10)(x+2)(x+1)

    4.(t² +4t)² -2(t² +4t)-24

    =(t² +4t-6)(t² +4t+4)

    =(t² +4t-6)(t+2)²

    5.4a² b² -(a² +b² )²

    =(2ab)²-(a² +b² )²

    =(a² +b² -2ab)(a² +b² +2ab)

    =(a-b)²(a+b)²