1. What could be added to each expression to make it a perfect square?
a. \( x ^ { 2 } + 12 x \)
b. \( x ^ { 2 } - 6 x + 1 \)
c. \( x ^ { 2 } + 14 x - 10 \)
2. Solve the equation \( x ^ { 2 } - 16 x = - 60 \) by completing the square. Show your reasoning.