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Expand the expression
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$3 \left( x ^{ 2 } -2x+1 \right) + \left( 2x ^{ 2 } +5x-1 \right)$
$5 x ^ { 2 } - x + 2$
Organize polynomials
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) + \left ( 2 x ^ { 2 } + 5 x - 1 \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } + \color{#FF6800}{ 3 } + \left ( 2 x ^ { 2 } + 5 x - 1 \right )$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 6 + 5 \right ) x + \left ( 3 - 1 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 6 + 5 \right ) x + \left ( 3 - 1 \right )$
$5 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } + \left ( 3 - 1 \right )$
$ $ Organize the mononomial expression $ $
$5 x ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ x } + \left ( 3 - 1 \right )$
$5 x ^ { 2 } - x + \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Arrange the constant term $ $
$5 x ^ { 2 } - x + \color{#FF6800}{ 2 }$
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