Chapter 3 - Quadratic Functions - Exercises for Skills for Completing the Square - Page 138: 8

$$12\left(g+\frac{1}{3}\right)^2+\frac{11}{3}$$

Completing the square, we obtain: $$ 12\left(g^2+\frac{2g}{3}+\frac{5}{12}+\left(\frac{1}{3}\right)^2-\left(\frac{1}{3}\right)^2\right) \\ 12\left(\left(g+\frac{1}{3}\right)^2+\frac{5}{12}-\left(\frac{1}{3}\right)^2\right) \\ 12\left(g+\frac{1}{3}\right)^2+\frac{11}{3}$$