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Formula
Expand the expression
Answer
Factorize the expression
Answer
$108-3x ^{ 2 }$
$- 3 x ^ { 2 } + 108$
Organize polynomials
$\color{#FF6800}{ 108 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
 Sort the polynomial expressions in descending order 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 108 }$
$- 3 \left ( x - 6 \right ) \left ( x + 6 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 108 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
 Factorize to use the polynomial formula of sum and difference 
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right )$
$3 \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( 6 - x \right )$
 Organize the expression 
$3 \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \left ( 6 - x \right )$
$3 \left ( x + 6 \right ) \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right )$
 Expand the expression 
$3 \left ( x + 6 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
$3 \left ( x + 6 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
 Bind the expressions with the common factor $- 1$
$3 \left ( x + 6 \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \right )$
$3 \left ( x + 6 \right ) \times \left ( \color{#FF6800}{ - } \left ( x - 6 \right ) \right )$
 If you multiply negative numbers by odd numbers, move the (-) sign forward 
$- 3 \left ( x + 6 \right ) \left ( x - 6 \right )$
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right )$
 Sort the factors 
$\color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
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