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$\left( 10x ^{ 2 } -15xy \right) \div \left( -5x \right) - \dfrac{ 1 }{ 3y } \left( 9xy-6y ^{ 2 } \right)$
$- 5 x + 5 y$
Arrange the rational expression
$\left ( \color{#FF6800}{ 10 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 15 } \color{#FF6800}{ x } \color{#FF6800}{ y } \right ) \color{#FF6800}{ \div } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) - \dfrac { 1 } { 3 y } \left ( 9 x y - 6 y ^ { 2 } \right )$
$ $ Calculate the multiplication expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + \color{#FF6800}{ 3 } \color{#FF6800}{ y } - \dfrac { 1 } { 3 y } \left ( 9 x y - 6 y ^ { 2 } \right )$
$- 2 x + 3 y \color{#FF6800}{ - } \color{#FF6800}{ \dfrac { 1 } { 3 y } } \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Calculate the multiplication expression $ $
$- 2 x + 3 y \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } + \color{#FF6800}{ 2 } \color{#FF6800}{ y }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ y }$
$ $ Organize the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ y }$
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