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

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(a2x2-2ax+1),
=-4(ax-1)2
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