分解因式: (1)-y3-4x2y+4xy2; (2)(x2+9y2)2-36x2y2.

问题描述:

分解因式:
(1)-y3-4x2y+4xy2
(2)(x2+9y22-36x2y2

(1)-y3-4x2y+4xy2
=-y(y2+4x2-4xy),
=-y(y-2x)2
(2)(x2+9y22-36x2y2
=(x2+9y2+6xy)(x2+9y2-6xy),
=(x-3y)2(x+3y)2