分解因式: (1)(2x2-3x+1)2-22x2+33x-1; (2)x4+7x3+14x2+7x+1; (3)(x+y)3+2xy(1-x-y)-1; (4)(x+3)(x2-1)(x+5)-20.

问题描述:

分解因式:
(1)(2x2-3x+1)2-22x2+33x-1;
(2)x4+7x3+14x2+7x+1;
(3)(x+y)3+2xy(1-x-y)-1;
(4)(x+3)(x2-1)(x+5)-20.

(1)(2x2-3x+1)2-22x2+33x-1,=(2x2-3x+1)2-11(2x2-3x+1)+10,=(2x2-3x+1-1)(2x2-3x+1-10),=(2x2-3x)(2x2-3x-9),=x(2x-3)(2x+3)(x-3);(2)x4+7x3+14x2+7x+1,=x4+4x3+6x2+4x+1+3x3+6x2+3x+...