因式分解 (1)4a2-16 (2)(x2-2x)2+2(x2-2x)+1 (3)25(a+b)2-4(a-b)2
问题描述:
因式分解
(1)4a2-16
(2)(x2-2x)2+2(x2-2x)+1
(3)25(a+b)2-4(a-b)2
答
(1)4a2-16,
=4(a2-4),
=4(a+2)(a-2);
(2)(x2-2x)2+2(x2-2x)+1,
=(x2-2x+1)2,
=(x-1)4
(3)25(a+b)2-4(a-b)2,
=(5a+5b+2a-2b)(5a+5b-2a+2b),
=(7a+3b)(3a+7b)