分解因式 (1)25x2-16y2; (2)(a-b)(x-y)-(b-a)(x+y); (3)a2-4ab+4b2; (4)4+12(x-y)+9(x-y)2.

问题描述:

分解因式
(1)25x2-16y2
(2)(a-b)(x-y)-(b-a)(x+y);
(3)a2-4ab+4b2
(4)4+12(x-y)+9(x-y)2

(1)25x2-16y2,=(5x)2-(4y)2=(5x+4y)(5x-4y);(2)(a-b)(x-y)-(b-a)(x+y),=(a-b)(x-y)+(a-b)(x+y),=(a-b)(x-y+x+y),=2x(a-b);(3)a2-4ab+4b2=(a-2b)2;(4)4+12(x-y)+9...