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Expand the expression
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Factorize the expression
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$3a-2 \{ a- \left( a ^{ 2 } -3 \right) +2a ^{ 2 } \}$
$- 2 a ^ { 2 } + a - 6$
Organize polynomials
$3 a - 2 \left ( a \color{#FF6800}{ - } \left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) + 2 a ^ { 2 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$3 a - 2 \left ( a \color{#FF6800}{ - } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 3 } + 2 a ^ { 2 } \right )$
$3 a - 2 \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Organize the similar terms $ $
$3 a - 2 \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$3 a - 2 \left ( a + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + 3 \right )$
$ $ Organize the mononomial expression $ $
$3 a - 2 \left ( a + \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } + 3 \right )$
$3 a - 2 \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$ $ Sort the polynomial expressions in descending order $ $
$3 a - 2 \left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$3 a \color{#FF6800}{ - } \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right )$
$ $ Organize the expression with the distributive law $ $
$3 a \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } - 2 a ^ { 2 } - 6$
$ $ Organize the mononomial expression $ $
$\color{#FF6800}{ a } - 2 a ^ { 2 } - 6$
$\color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$- \left ( 2 a ^ { 2 } - a + 6 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Bind the expressions with the common factor $ - 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
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