Simplify the expression. (1+(x)/(y) )((4y^(2) )/(x^(2) -y^(2) ) )

Question

Simplify the expression.

`(1+(x)/(y) )((4y^(2) )/(x^(2) -y^(2) ) )`

Answer 1

Here is the answer!!

Answer 2

4y / x-y

Explanation:

First change 1 to y/y. This allows us to rewrite the first term as a single fraction.

We can also factor the denominator of the second term.

x^2 - y^2 factors into (x - y)(x + y)

The y cancels and also the term x+y cancels. See image.