Question

plz someone simplify it's urgent​

Answer 1

((x^(-1) + y^(-1))/x^(-1)) + ((x^(-1) - y^(-1))/y^(-1))

= (((1/x) + (1/y))/(1/x)) + (((1/x) - (1/y))/(1/y))

= (((x + y)/xy)/(1/x)) + (((y - x)/xy)/(1/y))

= (((x + y)/xy)*(x)) + (((y - x)/xy)*(y))

= ((x + y)/y) + ((y - x)/x)

= (x*(x + y) + y*(y - x))/(x*y)

= (x^2 + y^2)/x*y

Hence Proved