(x²+x)²-3x(x+1)-10因式分解

1个回答

  • (x²+x)²-3x(x+1)-10

    =[x(x+1)]²-3x(x+1)-10

    令x(x+1)=t,则:

    [x(x+1)]²-3x(x+1)-10

    =t²-3t-10

    =(t+2)(t+5)

    将t=x(x+1)代入上式可得:

    (x²+x)²-3x(x+1)-10

    =(t+2)(t+5)

    =【x(x+1)+2】【x(x+1)+5】

    =(x²+x+2)(x²+x-5)