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Formula
Expand the expression
Factorize the expression
$3x \left( x ^{ 2 } -5x+6 \right)$
$3 x ^ { 3 } - 15 x ^ { 2 } + 18 x$
Organize polynomials
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 18 } \color{#FF6800}{ x }$
$3 x \left ( x - 3 \right ) \left ( x - 2 \right )$
Arrange the expression in the form of factorization..
$3 x \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
 Use the factoring formula, $x^{2} + \left(a+b\right)x + ab = \left(x+a\right)\left(x+b\right)$
$3 x \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
$3 x \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right )$
 Sort the factors 
$3 x \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
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