To solve this, we first need to simplify the expression x²-y². This can be rewritten as (x+y)(x-y).
So, the expression becomes:
(x+y)(x-y) / (y/x - y + x/x + y)
Next, we can simplify the expression in the denominator:
y/x - y + x/x + y= y/x - y + 1 + y= y/x + 1 + y= y/x + y + 1
Therefore, the simplified expression is:
(x+y)(x-y) / (y/x + y + 1)
To solve this, we first need to simplify the expression x²-y². This can be rewritten as (x+y)(x-y).
So, the expression becomes:
(x+y)(x-y) / (y/x - y + x/x + y)
Next, we can simplify the expression in the denominator:
y/x - y + x/x + y
= y/x - y + 1 + y
= y/x + 1 + y
= y/x + y + 1
Therefore, the simplified expression is:
(x+y)(x-y) / (y/x + y + 1)