Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 14a^{2} + 5q^{2} + 3q \)
Solution
To simplify the expression \( 6a^{2} + 5q^{2} + 8a^{2} + 3q \), follow these steps:
1. **Combine like terms:**
- **Terms with \( a^{2} \):**
\[
6a^{2} + 8a^{2} = 14a^{2}
\]
- **Terms with \( q^{2} \):**
\[
5q^{2} \quad (\text{no other } q^{2} \text{ terms to combine})
\]
- **Terms with \( q \):**
\[
3q \quad (\text{no other } q \text{ terms to combine})
\]
2. **Write the simplified expression:**
\[
14a^{2} + 5q^{2} + 3q
\]
**Final Simplified Expression:**
\[
14a^{2} + 5q^{2} + 3q
\]
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Simplify this solution Beyond the Answer
To simplify the expression \( 6 a^{2}+5 q^{2}+8 a^{2}+3 q \), first combine like terms. 1. Combine the \( a^{2} \) terms: \( 6 a^{2} + 8 a^{2} = 14 a^{2} \). 2. The \( q^{2} \) term remains \( 5 q^{2} \). 3. The \( q \) term is \( 3 q \). Putting it all together, the simplified expression is: \[ 14 a^{2} + 5 q^{2} + 3 q \]
