作业帮计算:(x^3+x^2y) / (x^2-y^3) - x(x-y)/ (xy+x^2)- (2xy)/(x^2-y^2
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：2024/04/28 05:34:46
计算:(x^3+x^2y) / (x^2-y^3) - x(x-y)/ (xy+x^2)- (2xy)/(x^2-y^2)
[(x^3+x^2y)/(x^2y-y^3)]-{[x(x-y)]/(xy+x^2)}-[(2xy)/(x^2-y^2)]
原式=[x^2(x+y)/y(x+y)(x-y))]-[x(x-y)]/[x(y+x)]-[2xy/(x+y)(x-y)]
=[x^2/y(x-y)]-(x-y)/(x+y)-2xy/(x+y)(x-y)
=[x^2(x+y)-y(x-y)^2-2xy^2]/y(x+y)(x-y)
=(x^3+x^2y-x^2y+2xy^2-y^3-2xy^2)/y(x+y)(x-y)
=(x^3-y^3)/y(x+y)(x-y)
=(x-y)(x^2+xy+y^2)/y(x+y)(x-y)
=(x^2+xy+y^2)/y(x+y)
原式=[x^2(x+y)/y(x+y)(x-y))]-[x(x-y)]/[x(y+x)]-[2xy/(x+y)(x-y)]
=[x^2/y(x-y)]-(x-y)/(x+y)-2xy/(x+y)(x-y)
=[x^2(x+y)-y(x-y)^2-2xy^2]/y(x+y)(x-y)
=(x^3+x^2y-x^2y+2xy^2-y^3-2xy^2)/y(x+y)(x-y)
=(x^3-y^3)/y(x+y)(x-y)
=(x-y)(x^2+xy+y^2)/y(x+y)(x-y)
=(x^2+xy+y^2)/y(x+y)
（x^2+xy/x-y)/（xy/x-y)计算
计算3xy[2xy-x(y-2)+x-1]
计算：3xy[2xy-x（y-2）+x]
计算：(x+y/x-y)÷(xy+x^2)
[x(x^2y^2-xy)-y(x^2-x^3y)]/3x^2y
计算：（x^2-y^2/xy)^2/(x+y)^2*(x/x-y)^3
计算3x[xy-2x(1/y-x/3]+3y(x²-y²)
(x-2xy)*(-xy+2y*y)-(3x*x-2xy)(x-9xy+6y*y)
（xy-x^2)乘以(xy)/(x-y)
计算(x^8-x^7y+x^5y^3-x^4y^4+x^3y^5-x^y^7+y^8)(x^2+xy+y^2)
x-y/xy-y^2计算
化简：x-y/x+3y÷x^-y^2/x^2+6xy+9y^2-(xy/x+y)