Fully simplify \( 6 a^{2}+5 q^{2}+8 a^{2}+3 q \)

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:** \[ 14a^{2} + 5q^{2} + 3q \]