1、-(x-y)的平方-(x-y)=-(x-y)( ) 2、3a的平方-a-1= 因式分解,现在就要,

问题描述:

1、-(x-y)的平方-(x-y)=-(x-y)( ) 2、3a的平方-a-1= 因式分解,现在就要,

解;(1)-(x-y)²-(x-y)=-(x-y)[(x-y)+1]=-(x-y)(x-y+1);提公因式法因式分解;
(2)若是:3a²-2a-1=(a-1)(3a+1)
  若是:3a²-a-1=3[a-(1+√13)/6][a+(1-√13)/6]
用的是求根法:先求ax²+bx+c=0的根x1和x2;再分解式:原式=a(x-x1)(x-x2)

⒈-﹙x-y﹚²-﹙x-y﹚=-﹙x-y﹚﹙x-y+1﹚
⒉3a²-a-1=3[a²-1/3a+﹙1/6﹚²-﹙1/6﹚²-1/3]
=3﹛[a²-1/3a+﹙1/6﹚²]-﹙1/6﹚²-1/3﹜
=3[﹙a-1/6﹚²-﹙√13/6﹚²]
=3﹙a-1/6+√13/6﹚﹙a-1/6-√13/6﹚
=3[a-﹙1-√13﹚/6][a-﹙1+√13﹚/6]