Упростить:(x^-1 -y^-1)*(x-y)^-1

Question

Упростить:(x^-1 -y^-1)*(x-y)^-1

Answer 1

(x^-1 -y^-1)*(x -y)^-1 =(1/x - 1/y)*1/(x -y) =(y-x) /(xy*(x-y) = -(x-y) /(xy*(x-y)) = -1/xy