Упростите выражение x^2+2xy+y^2/x^2-y^2/(x+y)

Question

Упростите выражение x^2+2xy+y^2/x^2-y^2/(x+y)

Answer 1

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