Final answer:
To solve the given equation, simplify the fractions by cross multiplying and substituting the expression back into the original equation.
Step-by-step explanation:
To solve the equation (x-y)/(x+y) - (x-y)/(x-y), we need to simplify the expression first. Let's start by simplifying the fractions:
- For the first fraction, we cross multiply to get (x-y)(x-y) = (x-y)2
- For the second fraction, we cross multiply to get (x+y)(x-y) = (x+y)(x-y)
Now, let's substitute the simplified expressions back into the original equation:
((x-y)(x-y))/((x+y)(x-y)) - (x-y)/(x-y)
Simplifying further, we have:
(x-y)2/((x+y)(x-y)) - 1
This is the final simplified expression.