Question

add. enter your answer as a single, simplified, rational expression where the numerator and denominator have no common factors.
\\(\frac{2}{x - 1} + \frac{x + 10}{x + 1}\\)
(there are some input attempts and feedback like \thats not it\ and \thats not it. try again. score: 0%\ shown in the interface.)

Explanation:

Step1: Find a common denominator

The denominators are \(x - 1\) and \(x + 1\), so the common denominator is \((x - 1)(x + 1)\).
Rewrite each fraction with the common denominator:
\(\frac{2}{x - 1}=\frac{2(x + 1)}{(x - 1)(x + 1)}\)
\(\frac{x + 10}{x + 1}=\frac{(x + 10)(x - 1)}{(x - 1)(x + 1)}\)

Step2: Add the fractions

Now add the numerators:

$$
LATEXBLOCK0
$$

Answer:

\(\frac{x^{2}+11x - 8}{(x - 1)(x + 1)}\)