因式分解:(1)x2-3xy-10y2+x+9y-2;(2)x3-11x2+31x-21.

问题描述:

因式分解:
(1)x2-3xy-10y2+x+9y-2;
(2)x3-11x2+31x-21.

(1)原式=(x+2y)(x-5y)+2x+4y-x+5y-2 =(x+2y)(x-5y)+2(x+2y)-(x-5y+2)=(x+2y)(x-5y+2)-(x-5y+2)=(x+2y-1)(x-5y+2);(2)原式=(x3-1)-(11x3-31x+20)=(x-1)(x2+x+1)-(11x-20)(x-1...
答案解析:(1)、(2)先添项、拆项、再提取公因式即可.
考试点:因式分解.


知识点:本题考查的是因式分解,在解答此类题目时要注意使用分组分解法.