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Formula
Expand the expression
$3x \left( 2x-1 \right) +2 \left( 3x ^{ 2 } +2x-4 \right)$
$12 x ^ { 2 } + x - 8$
Organize polynomials
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) + 2 \left ( 3 x ^ { 2 } + 2 x - 4 \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + 2 \left ( 3 x ^ { 2 } + 2 x - 4 \right )$
$6 x ^ { 2 } - 3 x + \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$
 Organize the expression with the distributive law 
$6 x ^ { 2 } - 3 x + \color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 }$
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 3 + 4 \right ) x - 8$
 Arrange the constant term 
$\color{#FF6800}{ 12 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 3 + 4 \right ) x - 8$
$12 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } - 8$
 Organize the mononomial expression 
$12 x ^ { 2 } + \color{#FF6800}{ x } - 8$
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