Question
Subtract. \[ \frac{8}{c+5}-\frac{4}{c+5} \] Simplify. your answer as much as possible.
Ask by Lindsey Burton. in the United States
Jan 29,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\[
\frac{4}{c + 5}
\]
Solution
To subtract the given fractions and simplify the expression, follow these steps:
\[
\frac{8}{c + 5} - \frac{4}{c + 5}
\]
**Step 1: Subtract the numerators**
Since both fractions have the same denominator \((c + 5)\), you can subtract the numerators directly:
\[
\frac{8 - 4}{c + 5}
\]
**Step 2: Simplify the numerator**
\[
\frac{4}{c + 5}
\]
**Final Answer:**
\[
\boxed{\dfrac{4}{c + 5}}
\]
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Extra Insights
To subtract the fractions, you simply combine the numerators since they share a common denominator: \[ \frac{8}{c+5} - \frac{4}{c+5} = \frac{8 - 4}{c + 5} = \frac{4}{c + 5} \] So, the simplified answer is: \[ \frac{4}{c+5} \]
