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Formula
Factorize the expression
$12x ^{ 2 } y-27y ^{ 3 }$
$3 y \left ( 2 x - 3 y \right ) \left ( 2 x + 3 y \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 12 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 27 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } }$
 Factorize to use the polynomial formula of sum and difference 
$\color{#FF6800}{ 3 } \color{#FF6800}{ y } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
$\color{#FF6800}{ 3 } \color{#FF6800}{ y } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
 Sort the factors 
$\color{#FF6800}{ 3 } \color{#FF6800}{ y } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \right )$
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