(3 x)/(5 x+5 y)-(x)/(10 x-10 y)

To solve the expression , we need to find a common denominator and combine the fractions.First, let's simplify the denominators: So, the expression becomes: Next, we need to find a common denominator. The least common multiple (LCM) of \(5(x + y)\) and \(10(x - y)\) is \(10(x + y)(x - y)\).Rewrite each fraction with the common denominator: Now, add the fractions: Combine the numerators: Distribute and simplify the numerator: So, the expression simplifies to: Therefore, the simplified form of the given expression is: