Question

add.
\\(\frac{3}{x - 6} + \frac{4}{x + 5}\\)
simplify your answer as much as possible.

Explanation:

Step1: Find the common denominator

The common denominator of \(x - 6\) and \(x + 5\) is \((x - 6)(x + 5)\). Rewrite each fraction with the common denominator:
\(\frac{3}{x - 6}=\frac{3(x + 5)}{(x - 6)(x + 5)}\) and \(\frac{4}{x + 5}=\frac{4(x - 6)}{(x - 6)(x + 5)}\)

Step2: Add the numerators

Add the two fractions:

$$
LATEXBLOCK0
$$

Answer:

\(\frac{7x - 9}{(x - 6)(x + 5)}\)