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$2 \left( a ^{ 2 } -2a+1 \right) +3 \left( \dfrac{ 2 }{ 3 } a ^{ 2 } + \dfrac{ 1 }{ 6 } a- \dfrac{ 1 }{ 3 } \right)$
$\dfrac { 8 a ^ { 2 } - 7 a + 2 } { 2 }$
Arrange the rational expression
$\color{#FF6800}{ 2 } \left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) + 3 \left ( \dfrac { 2 } { 3 } a ^ { 2 } + \dfrac { 1 } { 6 } a - \dfrac { 1 } { 3 } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } + \color{#FF6800}{ 2 } + 3 \left ( \dfrac { 2 } { 3 } a ^ { 2 } + \dfrac { 1 } { 6 } a - \dfrac { 1 } { 3 } \right )$
$2 a ^ { 2 } - 4 a + 2 + \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { 6 } } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 } } \right )$
$ $ Calculate the multiplication expression $ $
$2 a ^ { 2 } - 4 a + 2 + \color{#FF6800}{ \dfrac { 4 a ^ { 2 } + a - 2 } { 2 } }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 4 a ^ { 2 } + a - 2 } { 2 } }$
$ $ Calculate the expression as a fraction format $ $
$\color{#FF6800}{ \dfrac { 8 a ^ { 2 } - 7 a + 2 } { 2 } }$
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