Given x ^ 2-xy = 10, xy-y ^ 2 = 20, find: x^2-y^2 x^-2xy+y^2

Given x ^ 2-xy = 10, xy-y ^ 2 = 20, find: x^2-y^2 x^-2xy+y^2


∵x^2-xy=10
∵xy-y^2=20
∴(x^2-xy)+(xy-y^2)=30
∴x^2-y^2=30
∵x^2-xy=10
∵xy-y^2=20
∴(x^2-xy)-(xy-y^2)=x^-2xy+y^2=-10
∴x^-2xy+y^2=-10



Given that x-xy = 20, xy-y = - 12, then X-Y =?


All in all, x-xy + (xy-y) = 20 + (- 12)
x-y=8



How to simplify (1 / Y-1 / x) times (XY) / (x ^ 2-2xy + y ^ 2)


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