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

2025-06-20 11:09:51
推荐回答(1个)
回答1:

(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(x-y)2=[2+3(x-y)]2=(2+3x-3y)2