Question

Simplify x^2+5x+6/x+2 . Write your answer in standard form.(1 point)

make the answer understandable to read

Answer 1

To simplify the expression \(\frac{x^2 + 5x + 6}{x + 2}\), we can start by factoring the numerator.

1. **Factoring the Numerator:**
The expression \(x^2 + 5x + 6\) can be factored as follows:
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]

2. **Rewriting the Expression:**
Now, substituting the factored form into the original expression, we get:
\[
\frac{(x + 2)(x + 3)}{x + 2}
\]

3. **Canceling Common Factors:**
Since \(x + 2\) appears in both the numerator and the denominator, we can cancel it (keeping in mind that \(x \neq -2\) to avoid division by zero):
\[
x + 3
\]

4. **Result:**
Thus, the simplified form of the expression is:
\[
x + 3
\]
in standard form.

Hence, the final answer is:
\[
\boxed{x + 3}
\]