作业帮 > 数学 > 作业

化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy

来源:学生作业帮 编辑:拍题作业网作业帮 分类:数学作业 时间:2024/04/30 21:50:31
化简x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
x^2-y^2/xy÷(x+y)+x^2+2xy+y^2/x^2y+xy^2-x^2-2xy+y^2/x^2y-xy^2
=(x-y)(x-y)/[xy(x+y)]+(x+y)²/[xy(x+y)]-(x-y)²/[xy(x-y)]
=(x-y)/xy+(x+y)/(xy)-(x-y)([xy)
=(x-y+x+y-x+y)/(xy)
=(x+y)/(xy)