(1+x/y)(4y^2 / x^2 - y^2) rational explanation

Question

Simply it with rational expression 

Answer 1

Multiply using the distributive property

 

(1+x/y)(4y²/x²-y²) =4y²/x²-y² + 4xy/x²-y² = (4y² + 4xy)/x²-y² 

Answer 2

Continuing Vanessa's solution:

 

(4y² + 4xy) / (x² - y² )            Factor numerator

4y(y + x) / (x² - y²)                Factor denominator

4y(y + x) / (x + y)(x - y)         Reduce common factors

4y / (x - y)