Question
simplify x^2+5x+6/x+2 in standard form
Answers
GPT-4o mini
To simplify the expression \(\frac{x^2 + 5x + 6}{x + 2}\), we can start by factoring the numerator.
1. **Factor the numerator**:
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
2. **Rewrite the expression**:
\[
\frac{x^2 + 5x + 6}{x + 2} = \frac{(x + 2)(x + 3)}{x + 2}
\]
3. **Cancel the common term \((x + 2)\)** (assuming \(x \neq -2\) to avoid division by zero):
\[
= x + 3
\]
Thus, the simplified expression, in standard form, is:
\[
x + 3 \quad \text{(for } x \neq -2\text{)}
\]
1. **Factor the numerator**:
\[
x^2 + 5x + 6 = (x + 2)(x + 3)
\]
2. **Rewrite the expression**:
\[
\frac{x^2 + 5x + 6}{x + 2} = \frac{(x + 2)(x + 3)}{x + 2}
\]
3. **Cancel the common term \((x + 2)\)** (assuming \(x \neq -2\) to avoid division by zero):
\[
= x + 3
\]
Thus, the simplified expression, in standard form, is:
\[
x + 3 \quad \text{(for } x \neq -2\text{)}
\]