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Expand the expression  Factorize the expression $3x \left( -4x+1 \right)$
$- 12 x ^ { 2 } + 3 x$
Organize polynomials
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x }$
$- 3 x \left ( 4 x - 1 \right )$
Arrange the expression in the form of factorization..
$3 x \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
 Bind the expressions with the common factor $- 1$
$3 x \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \right )$
$3 x \times \left ( \color{#FF6800}{ - } \left ( 4 x - 1 \right ) \right )$
 If you multiply negative numbers by odd numbers, move the (-) sign forward 
$- 3 x \left ( 4 x - 1 \right )$
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