Certainly! Let's solve the expression step-by-step.
We are given the expression:
[tex]\[ \frac{3x + 5}{x + 1} \][/tex]
### Step-by-Step Solution:
1. Identify the numerator and denominator:
- The numerator of the expression is: [tex]\(3x + 5\)[/tex].
- The denominator of the expression is: [tex]\(x + 1\)[/tex].
2. Examine the expression:
[tex]\[ \frac{3x + 5}{x + 1} \][/tex]
3. Check for possible simplification:
- To simplify a rational expression, we typically look for common factors in the numerator and the denominator. In this case, there are no common factors that we can cancel out, other than 1.
Therefore, the expression remains:
[tex]\[ \frac{3x + 5}{x + 1} \][/tex]
And that's it! The simplified form of the expression is:
[tex]\[ \frac{3x + 5}{x + 1} \][/tex]
This is the final answer.
