Question
7. Subtract \( -5-2 a \) from \( \left(a^{2}-5 a\right) \)
Ask by Owen Paul. in South Africa
Jan 20,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( a^{2} - 3a + 5 \)
Solution
To subtract \( -5 - 2a \) from \( a^{2} - 5a \), follow these steps:
1. **Set Up the Expression:**
\[
(a^{2} - 5a) - (-5 - 2a)
\]
2. **Distribute the Negative Sign:**
Subtracting a negative is the same as adding its positive counterpart.
\[
a^{2} - 5a + 5 + 2a
\]
3. **Combine Like Terms:**
- Combine the \( a \) terms:
\[
-5a + 2a = -3a
\]
- The constants and the \( a^{2} \) term remain unchanged.
4. **Write the Final Expression:**
\[
a^{2} - 3a + 5
\]
**Final Answer:**
\( a^{2} - 3a + 5 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To subtract \( -5-2a \) from \( a^{2}-5a \), you can rewrite the expression as: \[ \left(a^{2}-5a\right) - \left(-5-2a\right) \] This simplifies to: \[ a^{2} - 5a + 5 + 2a \] Now combine the like terms: \[ a^{2} - 3a + 5 \] So, the result of subtracting \( -5-2a \) from \( a^{2}-5a \) is: \[ a^{2} - 3a + 5 \]
