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Expand the expression
Factorize the expression
$2 \left( x-3 \right) ^{ 2 } - \left( x+2 \right) \left( 3x+1 \right)$
$- x ^ { 2 } - 19 x + 16$
Organize polynomials
$2 \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) ^ { \color{#FF6800}{ 2 } } - \left ( x + 2 \right ) \left ( 3 x + 1 \right )$
 Expand the binomial expression 
$2 \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) - \left ( x + 2 \right ) \left ( 3 x + 1 \right )$
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) - \left ( x + 2 \right ) \left ( 3 x + 1 \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } + \color{#FF6800}{ 18 } - \left ( x + 2 \right ) \left ( 3 x + 1 \right )$
$2 x ^ { 2 } - 12 x + 18 \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( 3 x + 1 \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$2 x ^ { 2 } - 12 x + 18 + \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( 3 x + 1 \right )$
$2 x ^ { 2 } - 12 x + 18 + \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
 Organize the expression with the distributive law 
$2 x ^ { 2 } - 12 x + 18 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 18 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 18 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 12 - 7 \right ) x + \left ( 18 - 2 \right )$
 Organize the mononomial expression 
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 12 - 7 \right ) x + \left ( 18 - 2 \right )$
$- x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ x } + \left ( 18 - 2 \right )$
 Arrange the constant term 
$- x ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 19 } \color{#FF6800}{ x } + \left ( 18 - 2 \right )$
$- x ^ { 2 } - 19 x + \left ( \color{#FF6800}{ 18 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
 Arrange the constant term 
$- x ^ { 2 } - 19 x + \color{#FF6800}{ 16 }$
$- \left ( x ^ { 2 } + 19 x - 16 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
 Expand the expression 
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 19 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 19 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 16 }$
 Bind the expressions with the common factor $- 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 19 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \right )$
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