Express with rational denominator`(x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(-1^2)))/(x+sqrt(-1))`

Explanation

`(x+sqrt(-1))^2/(x-sqrt(-1))-((x-sqrt(-1^2)))/(x+sqrt(-1))`
`((x+i)^2)/(x-i)-(x-i)^2/(x=i)=((x+i)^3-(x-i)^3)/((x-i)(x+i))`
`=(2(3x^2i+i^3))/(x^2-i^2)=(2(3x^2i-i))/(x^2+1)`
`=(2i(3x^2-1))/(x^2+1)`