Question

(\frac{3}{n + 3} - \frac{5n}{n - 4})

Explanation:

Step1: Find a common denominator

The denominators are \(n + 3\) and \(n - 4\), so the common denominator is \((n + 3)(n - 4)\).
Rewrite each fraction with the common denominator:
\(\frac{3}{n + 3}=\frac{3(n - 4)}{(n + 3)(n - 4)}\)
\(\frac{5n}{n - 4}=\frac{5n(n + 3)}{(n + 3)(n - 4)}\)

Step2: Subtract the fractions

Now subtract the two fractions:

$$
LATEXBLOCK0
$$

Answer:

\(\frac{-5n^2-12n - 12}{(n + 3)(n - 4)}\) (or it can be factored or written in other equivalent forms, but this is the simplified form after subtraction)