Question

初一数学难题！因式分解，求教！

(x^2-xy)/(xy-y^2)-(y^2+xy)/(x^2+xy)+(x^2+y^2)/xy
2.(x-2)/x^2/(1-2/x)

Answer 1

(x^2-xy)/(xy-y^2)-(y^2+xy)/(x^2+xy)+(x^2+y^2)/xy
=x(x-y)/(y(x-y))-y(x+y)/(x(x+y))+(x^2+y^2)/xy
=x/y-y/x+(x^2+y^2)/xy
=(x^2-y^2)/xy+(x^2+y^2)/xy
=2x^2/xy
=2x/y

祝你开心！

Answer 2

不是因式分解吧？
化简：
(x^2-xy)/(xy-y^2)-(y^2+xy)/(x^2+xy)+(x^2+y^2)/xy
=x(x-y)/[y(x-y)]-y(y+x)/[x(x+y)]+(x²+y²)/(xy)
=x/y-y/x+(x²+y²)/(xy)
=(x²-y²+x²+y²)/(xy)
=2x²/(xy)
=2x/y

Answer 3

x(x-y)/y(x-y)-y(y+x)/x(x+y)+(x^2+y^2)/xy
=x/y-y/x+(x^2+y^2)/xy
=x^2/xy-y^2/xy+(x^2+y^2)/xy
=(x^2-y^2+x^2+y^2)/xy
=2x^2/xy
=2x/y
(x-2)/x^2/(1-2/x)
=(x-2)/[(x-2)/x]/x^2
=x*(x-2)/(x-2)/x^2
=x/x^2
=1/x

Answer 4

我看不懂