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$- 4 \sqrt{ 2 } + 4$
Calculate the value
$- \sqrt{ 2 } \left ( \color{#FF6800}{ 3 } - \sqrt{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } - \sqrt{ 2 } \right )$
$ $ Add $ 3 $ and $ 1$
$- \sqrt{ 2 } \left ( \color{#FF6800}{ 4 } - \sqrt{ 2 } - \sqrt{ 2 } \right )$
$- \sqrt{ 2 } \left ( 4 \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Calculate between similar terms $ $
$- \sqrt{ 2 } \left ( 4 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$\color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Multiply each term in parentheses by $ - \sqrt{ 2 }$
$\color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$\color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 4 } - \sqrt{ 2 } \left ( - 2 \sqrt{ 2 } \right )$
$ $ Simplify the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } - \sqrt{ 2 } \left ( - 2 \sqrt{ 2 } \right )$
$- 4 \sqrt{ 2 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Get rid of unnecessary parentheses $ $
$- 4 \sqrt{ 2 } + \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } }$
$- 4 \sqrt{ 2 } + \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ \times } \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 2 } }$
$ $ Simplify the expression $ $
$- 4 \sqrt{ 2 } + \color{#FF6800}{ 4 }$
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