问题 填空题 若x+y=1,且x≠0,则(x+2xy+y2x)÷x+yx的值为______. 答案 (x+2xy+y2x)÷x+yx=x2+2xy+y2x×xx+y=(x+y)2x•xx+y=x+y,把x+y=1代入上式得:原式=1;故答案为:1.