Let's simplify the expression step by step:
Now, we can substitute these results back into the original expression:
(x/y + 1) • (y - y/x)
Expanding this expression gives:
xy/y + y - y - y^2/x= x + y - y - y^2/x= x - y^2/x
Therefore, the simplified expression is x - y^2/x.
Let's simplify the expression step by step:
(x + y)/y = x/y + y/y = x/y + 1(x/x + y) - (x - y)/x = 1 + y - 1 - y/x = y - y/xNow, we can substitute these results back into the original expression:
(x/y + 1) • (y - y/x)
Expanding this expression gives:
xy/y + y - y - y^2/x
= x + y - y - y^2/x
= x - y^2/x
Therefore, the simplified expression is x - y^2/x.