(x+y)(x+y-1)=0 求x²+y²+2xy(x+y)(x+y-1)=0 x+y=0或x+y-1=0即x+y=0或x+y=1当x+y=0时,x²+y²+2xy=(x+y)²=0²=0;当x+y=1时,x²+y²+2xy=(x+y)²=1²=1.