问题
填空题
(x-y)2+______=(x+y)2.
答案
(x+y)2=x2+2xy+y2,
=x2+2xy+y2-4xy+4xy,
=x2-2xy+y2+4xy,
=(x-y)2+4xy,
故(x-y)2+4xy=(x+y)2.
(x-y)2+______=(x+y)2.
(x+y)2=x2+2xy+y2,
=x2+2xy+y2-4xy+4xy,
=x2-2xy+y2+4xy,
=(x-y)2+4xy,
故(x-y)2+4xy=(x+y)2.