分解因式 (1)6(x-y)2+3(y-x) (2)(x2+1)2-4x2 (3)(x-2)2+12(x-2)+36.

问题描述:

分解因式
(1)6(x-y)2+3(y-x)
(2)(x2+1)2-4x2        
(3)(x-2)2+12(x-2)+36.

(1)原式=6(x-y)2-3(x-y)
=3(x-y)(2x-2y-1);
(2)原式=(x2+1+2x)(x2+1-2x)
=(x+1)2(x-1)2
(3)原式=(x-2+6)2
=(x+4)2