Fully simplify $$ 6 a^{2}+5 q^{2}+8 a^{2}+3 q $$

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UpStudy AI · Accepted Answer

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:**
$$
14a^{2} + 5q^{2} + 3q
$$
$$ 14a^{2} + 5q^{2} + 3q $$

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