Solve quadratic functions: completeing the square

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Recognizing a Polynomial that Can Be Written as a Perfect Square
Convert the following expressions into perfect squares, if possible:
1. ${x^2} + 6x + {3^2}$ =
  ${x^2} - 6x + {\left( { - 3} \right)^2}$ =
2. ${x^2} + 20x + 100$ =
  ${x^2} - 20x + 100$ =
  ${x^2} - 20x - 100$ =
Completing the Square
Add a constant to each quadratic expression to make it a perfect square.
1. ${x^2} + 10x + \;$ _____ =
2. ${x^2} - 2x + \;$ _____ =
3. $2{x^2} + 12x + \;$ _____ =
4. $- 3{x^2} + 60x + \;$ _____ =
5. $\frac{2}{5}{x^2} - 8x + \;$ _____ =

perfect squares:

${\left( {x + a} \right)^2} = {x^2} + 2ax + {a^2}$
${\left( {x - a} \right)^2} = {x^2} - 2ax + {a^2}$
completing the square: adding a constant to a quadratic expression to make it a perfect square

Completing the square