问题
解答题
计算:
(1)(a+b)(-a+b)(a-b)(-a-b)=______;
(2)(x+y)2-2(x+y)(x-y)+(x-y)2=______.
答案
(1)(a+b)(-a+b)(a-b)(-a-b),
=(a+b)(a-b)(-a+b)(-a-b),
=(a2-b2)(a2-b2),
=a4-2a2b2+b4;
(2)(x+y)2-2(x+y)(x-y)+(x-y)2,
=[(x+y)-(x-y)]2,
=(x+y-x+y)2,
=4y2