# Math Help - simplify help

1. ## simplify help

$
(x+\frac{y^2}{x-y})/(\frac{x^3+y^3}{x^2-y^2})
$

$
(\frac {x}{x}+\frac{y^2}{x-y})/(\frac{x^3+y^3}{x^2-y^2})
$

$
\frac {x(x-y)+xy^2}{x(x-y)} \cdot \frac{(x-y)(x+y)}{(x+y)(x^2-xy+y^2)}
$

is this correcT? thank u

2. Hello, jvignacio!

Simplify: . $
\left(x+\frac{y^2}{x-y}\right) \div \left(\frac{x^3+y^3}{x^2-y^2}\right)$

The first expression is: . $\frac{x}{1}\cdot\frac{x-y}{x-y} \;+\;\frac{y^2}{x-y}\;=\;\frac{x(x-y) + y^2}{x-y} \;=\;\frac{x^2-xy+y^2}{x-y}$

The second expression is: . $\frac{(x+y)(x^2-xy+y^2)}{(x-y)(x+y)} \;=\;\frac{x^2-xy+r^2}{x-y}$

The problem becomes: . $\frac{x^2-xy+y^2}{x-y} \div \frac{x^2-xy+y^2}{x-y} \;=\;\frac{x^2-xy+y^2}{x-y}\cdot\frac{x-y}{x^2-xy+y^2} \;=\;\boxed{1}$