Question

Which is equivalent to (3x)/(x+5) - (x-5)/xa) (x^2 + 25)/ (x(x+5))b) (2x^2 + 25)/ (x(x+5))c) (2(x+5))/(x(x+5))d) (2(x-5))/(x(x+5))

Answer 1

We want to find an equivalent expression to:

$\frac{3x}{x+5}-\frac{x-5}{x}$

We could start by substracting both fractions:

$\frac{x(3x)-(x+5)(x-5)}{x(x+5)}$

This is:

$\begin{gathered} \frac{3x^2-(x^2-25)}{x(x+5)} \\ \\ =\frac{2x^2+25}{x(x+5)} \end{gathered}$

Thus, the correct answer is B.