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Factorize the expression
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$a \left( 1- \sqrt{ 2 } \right) - \sqrt{ 2 } \left( 4-3 \sqrt{ 2 } \right)$
$\left ( 1 - \sqrt{ 2 } \right ) a - 4 \sqrt{ 2 } + 6$
Organize polynomials
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) - \sqrt{ 2 } \left ( 4 - 3 \sqrt{ 2 } \right )$
$ $ Sort the order of variables in the mononomial expression $ $
$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ a } - \sqrt{ 2 } \left ( 4 - 3 \sqrt{ 2 } \right )$
$\left ( 1 - \sqrt{ 2 } \right ) a \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Calculate the value $ $
$\left ( 1 - \sqrt{ 2 } \right ) a \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } + \color{#FF6800}{ 6 }$
$\left ( 1 - \sqrt{ 2 } \right ) a - 4 \sqrt{ 2 } + 6$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \sqrt{ \color{#FF6800}{ 2 } } \right )$
$ $ Expand the expression $ $
$\left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \sqrt{ \color{#FF6800}{ 2 } } \right ) \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 }$
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