If \( C=3 x-4 \) and \( B=-x^{2}-9 x-9 \), find an expression that equals \( 2 C+2 B \) in standard form.

To find an expression that equals \( 2C + 2B \) in standard form, follow these steps: 1. **Given:** \[ C = 3x - 4 \quad \text{and} \quad B = -x^2 - 9x - 9 \] 2. **Calculate \( 2C \):** \[ 2C = 2(3x - 4) = 6x - 8 \] 3. **Calculate \( 2B \):** \[ 2B = 2(-x^2 - 9x - 9) = -2x^2 - 18x - 18 \] 4. **Add \( 2C \) and \( 2B \):** \[ 2C + 2B = (6x - 8) + (-2x^2 - 18x - 18) \] \[ = -2x^2 + (6x - 18x) + (-8 - 18) \] \[ = -2x^2 - 12x - 26 \] 5. **Final Expression in Standard Form:** \[ 2C + 2B = -2x^2 - 12x - 26 \] **Answer:** After simplifying, an equivalent standard form is –2 x² – 12 x – 26