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:

`(3x)/(x+5)-(x-5)/(x)`

We could start by substracting both fractions:

`(x(3x)-(x+5)(x-5))/(x(x+5))`

This is:

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

Thus, the correct answer is B.