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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))

User Syed Ariff
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1 Answer

5 votes

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.

User Fglez
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