问题
填空题
(a2+b2)2-4a2b2分解因式的结果是______
答案
(a2+b2)2-4a2b2,
=(a2+b2)2-(2ab)2,
=[(a2+b2)+2ab][(a2+b2)-2ab],
=(a2+b2+2ab)(a2+b2-2ab),
=(a+b)2(a-b)2.
(a2+b2)2-4a2b2分解因式的结果是______
(a2+b2)2-4a2b2,
=(a2+b2)2-(2ab)2,
=[(a2+b2)+2ab][(a2+b2)-2ab],
=(a2+b2+2ab)(a2+b2-2ab),
=(a+b)2(a-b)2.