Answer
$$\left(w+\frac{7}{2}\right)^2-\frac{49}{4}$$
Work Step by Step
Completing the square, we obtain:
$$ w^2+7w+\left(\frac{7}{2}\right)^2-\left(\frac{7}{2}\right)^2 \\ \left(w+\frac{7}{2}\right)^2-\left(\frac{7}{2}\right)^2 \\ \left(w+\frac{7}{2}\right)^2-\frac{49}{4}$$
