Completing the Square by Boxed Rockets

Write the following in the form ${(x + a)}^{2} + b$

x^{2} + 6 x + 1

{(x + 3)}^{2} - 8

x^{2} - 5 x + 8

{(x - \frac{5}{2})}^{2} + \frac{7}{4}

x^{2} + 15 x - 6

{(x + \frac{15}{2})}^{2} - \frac{249}{4}

x^{2} + 13 x + 1

{(x + \frac{13}{2})}^{2} - \frac{165}{4}

x^{2} - 4 x - 3

{(x - 2)}^{2} - 7

x^{2} + 10 x + 2

{(x + 5)}^{2} - 23