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Answer
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$x \left( -2y+4 \right) - \left( 9x ^{ 2 } y ^{ 2 } -3x ^{ 2 } y \right) \div 3xy$
$- 5 x y + 5 x$
Arrange the rational expression
$\color{#FF6800}{ x } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) - \left ( 9 x ^ { 2 } y ^ { 2 } - 3 x ^ { 2 } y \right ) \div \left ( 3 x y \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y } + \color{#FF6800}{ 4 } \color{#FF6800}{ x } - \left ( 9 x ^ { 2 } y ^ { 2 } - 3 x ^ { 2 } y \right ) \div \left ( 3 x y \right )$
$- 2 x y + 4 x \color{#FF6800}{ - } \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \right )$
$ $ Calculate the multiplication expression $ $
$- 2 x y + 4 x \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } + \color{#FF6800}{ x }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ x }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ x }$
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