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Formula
Expand the expression
Factorize the expression
$\left( a \sqrt{ 5 } -3 \right) \left( 2 \sqrt{ 5 } +4 \right)$
$\left ( 10 + 4 \sqrt{ 5 } \right ) a - 6 \sqrt{ 5 } - 12$
Organize polynomials
$\left ( \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } - 3 \right ) \left ( 2 \sqrt{ 5 } + 4 \right )$
 Sort the order of variables in the mononomial expression 
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } - 3 \right ) \left ( 2 \sqrt{ 5 } + 4 \right )$
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
 Organize the expression with the distributive law 
$\left ( \color{#FF6800}{ 10 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \sqrt{ \color{#FF6800}{ 5 } } \right ) \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 12 }$
$2 \left ( 2 + \sqrt{ 5 } \right ) \left ( \sqrt{ 5 } a - 3 \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ a } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( 2 \sqrt{ 5 } + 4 \right )$
 Expand the expression 
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( 2 \sqrt{ 5 } + 4 \right )$
$\left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ 2 } \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
 Sort the factors 
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ + } \sqrt{ \color{#FF6800}{ 5 } } \right ) \left ( \sqrt{ \color{#FF6800}{ 5 } } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
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