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Expand the expression
Answer
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$\left( 2x+4y \right) - \left( x-5y \right)$
$x + 9 y$
Organize polynomials
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
$2 x + 4 y \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ y } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$2 x + 4 y \color{#FF6800}{ - } \color{#FF6800}{ x } + \color{#FF6800}{ 5 } \color{#FF6800}{ y }$
$\color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ y }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y }$
$\left ( \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } + \left ( 4 + 5 \right ) y$
$ $ Organize the mononomial expression $ $
$\color{#FF6800}{ x } + \left ( 4 + 5 \right ) y$
$x + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ y }$
$ $ Arrange the constant term $ $
$x + \color{#FF6800}{ 9 } \color{#FF6800}{ y }$
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