We want to find an equivalent expression to:
[tex]\frac{3x}{x+5}-\frac{x-5}{x}[/tex]We could start by substracting both fractions:
[tex]\frac{x(3x)-(x+5)(x-5)}{x(x+5)}[/tex]This is:
[tex]\begin{gathered} \frac{3x^2-(x^2-25)}{x(x+5)} \\ \\ =\frac{2x^2+25}{x(x+5)} \end{gathered}[/tex]Thus, the correct answer is B.
