问题
填空题
x2+y2=(x+y)2-______=(x-y)2+______.
答案
∵(x+y)2=x2+2xy+y2,∴x2+y2=(x+y)2-2xy;
又(x-y)2=x2-2xy+y2,∴x2+y2=(x+y)2+2xy;
故答案为:2xy,2xy.
x2+y2=(x+y)2-______=(x-y)2+______.
∵(x+y)2=x2+2xy+y2,∴x2+y2=(x+y)2-2xy;
又(x-y)2=x2-2xy+y2,∴x2+y2=(x+y)2+2xy;
故答案为:2xy,2xy.