因式分解: (1)2x3-4x2y3+6x2y2; (2)3a2-27; (3)(x+2y-z)2-(x-2y+z)2; (4)-4a2x2+8ax-4.

问题描述:

因式分解:
(1)2x3-4x2y3+6x2y2
(2)3a2-27;
(3)(x+2y-z)2-(x-2y+z)2
(4)-4a2x2+8ax-4.

(1)2x3-4x2y3+6x2y2=2x2(x-2y3+3y2);(2)3a2-27,=3(a2-9),=3(a+3)(a-3);(3)(x+2y-z)2-(x-2y+z)2,=(x+2y-z+x-2y+z)(x+2y-z-x+2y-z),=2x(4y-2z),=4x(2y-z);(4)-4a2x2+8ax-4,=-4(...