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I need help with my pre-calculus homework, the image of the problem is attached. Directions: Complete the operations to write as a single rational expression

I need help with my pre-calculus homework, the image of the problem is attached. Directions-example-1
User Canoas
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1 Answer

6 votes

Given:


(5)/(n-4)+(4n)/(n+1)

To write as a single rational expression:

On cross multiplication we get,


\begin{gathered} (5)/(n-4)+(4n)/(n+1)=(5(n+1)+4n(n-4))/((n-4)(n+1)) \\ =(5n+5+4n^2-16n)/((n-4)(n+1)) \\ =(4n^2-11n+5)/(n^2-4n+n-4) \\ =(4n^2-11n+5)/(n^2-3n-4) \end{gathered}

Hence, the answer is,


(4n^2-11n+5)/(n^2-3n-4)

User Nick Chapsas
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