$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 2 } } - 8 \left ( x + 2 \right ) + 16$
$ $ Expand the binomial expression $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 4 } - 8 \left ( x + 2 \right ) + 16$
$x ^ { 2 } + 4 x + 4 \color{#FF6800}{ - } \color{#FF6800}{ 8 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) + 16$
$ $ Organize the expression with the distributive law $ $
$x ^ { 2 } + 4 x + 4 \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 16 } + 16$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
$ $ Organize the similar terms $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 16 } \right )$
$x ^ { 2 } + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ x } + \left ( 4 - 16 + 16 \right )$
$ $ Arrange the constant term $ $
$x ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \left ( 4 - 16 + 16 \right )$
$x ^ { 2 } - 4 x + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 16 } \right )$
$ $ Arrange the constant term $ $
$x ^ { 2 } - 4 x + \color{#FF6800}{ 4 }$