IDNLearn.com helps you find the answers you need quickly and efficiently. Ask anything and receive prompt, well-informed answers from our community of experienced experts.
Answer:
See Explanation
Step-by-step explanation:
Your question is poorly formatted. However, I'm able to deduce that your question involves at least 2 algebraic fractions that needs to be simplified.
So, I'll make use of the following expression:
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
When you follow the steps I'm about to provide, you'll arrive at the right answer
Required
Determine an equivalent expression
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex]
Step 1: Take L.C.M of the denominators
[tex]LCM = (n+3)(n-4)[/tex]
Step 2: Evaluate the fractions
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n(n-4)+5(n+3)}{(n+3)(n-4)}[/tex]
Step 3: Open the brackets at the numerator
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-12n+5n+15}{(n+3)(n-4)}[/tex]
Step 4: Collect and evaluate like terms
[tex]\frac{3n}{n + 3} + \frac{5}{n - 4}[/tex] [tex]= \frac{3n^2-7n+15}{(n+3)(n-4)}[/tex]
Follow the above steps, and you'll be able to solve your question.