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The expression simplifies to 8.
Solución
To simplify the expression:
\[
\frac{8}{m+5} \cdot (m+5)
\]
**Step-by-Step Simplification:**
1. **Identify Common Factors:**
- The term \((m+5)\) appears in both the numerator and the denominator.
2. **Cancel Out the Common Factors:**
- \(\frac{8}{\cancel{m+5}} \cdot \cancel{(m+5)}\)
3. **Simplify the Expression:**
- After canceling, you're left with \(8\).
**Final Simplified Form:**
\[
8
\]
**Note:** This simplification is valid as long as \(m + 5 \neq 0\) (i.e., \(m \neq -5\)) to avoid division by zero.
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Simplifique esta solución Beyond the Answer
Did you know that simplifying expressions like this one is a fundamental skill in algebra? When you see \( \frac{8}{m+5} \cdot(m+5) \), you can think of it as canceling out the \( m+5 \) in the numerator and denominator. This leads us straight to 8, making it super straightforward! Practicing these simplifications can help you spot common patterns, thus speeding up your problem-solving in algebra. Just remember, it's crucial to be mindful of any restrictions—like \( m+5 \) can't be zero, meaning \( m \) shouldn't equal -5, or the expression won't be valid. Keep it up, and you'll be a pro in no time!
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