(x-y)/(x+y)-(x+y)/(x-y)
You asked:
Evaluate the expression: \(\frac{x - y}{x + y} - \frac{x + y}{x - y}\)
MathBot Answer:
Evaluated
\(\displaystyle \frac{x - y}{x + y} - \frac{x + y}{x - y} = \frac{x - y}{x + y} - \frac{x + y}{x - y} \)
Expanded
\[\frac{x - y}{x + y} - \frac{x + y}{x - y} = \frac{x}{x + y} - \frac{x}{x - y} - \frac{y}{x + y} - \frac{y}{x - y}\]
Factored
\[\frac{x - y}{x + y} - \frac{x + y}{x - y} = - \frac{4 x y}{\left(x - y\right) \left(x + y\right)}\]