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Answer
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$\dfrac{ 2 }{ 3 } x \left( 12y-6x \right) -8y \left( x- \dfrac{ 3 }{ 4 } y \right)$
$- 4 x ^ { 2 } + 6 y ^ { 2 }$
Arrange the rational expression
$\color{#FF6800}{ \dfrac { 2 } { 3 } } \color{#FF6800}{ x } \left ( \color{#FF6800}{ 12 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \right ) - 8 y \left ( x - \dfrac { 3 } { 4 } y \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ y } - 8 y \left ( x - \dfrac { 3 } { 4 } y \right )$
$- 4 x ^ { 2 } + 8 x y \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ y } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 3 } { 4 } } \color{#FF6800}{ y } \right )$
$ $ Calculate the multiplication expression $ $
$- 4 x ^ { 2 } + 8 x y \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ y } + \color{#FF6800}{ 6 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
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