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$\left( 4-3 \sqrt{ 2 } \right) \left( -4-3 \sqrt{ 2 } \right)$
$2$
Calculate the value
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Expand using $ \left(a + b\right)\left(c + d\right) = ac + ad + bc + bd$
$\color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$\color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) + 4 \times \left ( - 3 \sqrt{ 2 } \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Multiply $ 4 $ and $ - 4$
$\color{#FF6800}{ - } \color{#FF6800}{ 16 } + 4 \times \left ( - 3 \sqrt{ 2 } \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$- 16 + \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$- 16 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$- 16 \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Simplify the expression $ $
$- 16 \color{#FF6800}{ - } \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 2 } } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 4 \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$- 16 - 12 \sqrt{ 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$- 16 - 12 \sqrt{ 2 } + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$- 16 - 12 \sqrt{ 2 } + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$ $ Simplify the expression $ $
$- 16 - 12 \sqrt{ 2 } + \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 2 } } + \left ( - 3 \sqrt{ 2 } \right ) \times \left ( - 3 \sqrt{ 2 } \right )$
$- 16 - 12 \sqrt{ 2 } + 12 \sqrt{ 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$- 16 - 12 \sqrt{ 2 } + 12 \sqrt{ 2 } + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } }$
$- 16 - 12 \sqrt{ 2 } + 12 \sqrt{ 2 } + \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$- 16 - 12 \sqrt{ 2 } + 12 \sqrt{ 2 } + \color{#FF6800}{ 18 }$
$- 16 \color{#FF6800}{ - } \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \sqrt{ \color{#FF6800}{ 2 } } + 18$
$ $ Eliminate opponent number $ $
$- 16 + 18$
$\color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ + } \color{#FF6800}{ 18 }$
$ $ Add $ - 16 $ and $ 18$
$\color{#FF6800}{ 2 }$
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