将下列各式分解因式: (1)-4a3b2+8a2b2; (2)9(a+b)2-4(a-b)2; (3)(x2+y2)2-4x2y2.

问题描述:

将下列各式分解因式:
(1)-4a3b2+8a2b2;    (2)9(a+b)2-4(a-b)2;   (3)(x2+y22-4x2y2

(1)-4a3b2+8a2b2,=-4a2b2(a-2);(2)9(a+b)2-4(a-b)2,=[3(a+b)+2(a-b)][3(a+b)-2(a-b)],=(5a+b)(a+5b); (3)(x2+y2)2-4x2y2,=(x2+y2+2xy)(x2+y2-2xy),=(x+y)2(x-y)2....