因式分解 (1)4a(x-y)-2b(y-x); (2)4x2-64; (3)4ab2-4a2b-b3.

问题描述:

因式分解
(1)4a(x-y)-2b(y-x);    
(2)4x2-64;
(3)4ab2-4a2b-b3

(1)原式=4a(x-y)+2b(x-y)
=2(x-y)(2a+b);
(2)原式=4(x2-16)
=4(x+4)(x-4);
(3)原式=-b(-4ab+4a2+b2
=-b(2a-b)2