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Expand the expression
Answer
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$4a- [ 5a+2 \{ a- \left( 2a-3 \right) \} ]$
$a - 6$
Organize polynomials
$4 a - \left ( 5 a + 2 \left ( a \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \right ) \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$4 a - \left ( 5 a + 2 \left ( a \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } + \color{#FF6800}{ 3 } \right ) \right )$
$4 a - \left ( 5 a + 2 \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \right )$
$ $ Organize the similar terms $ $
$4 a - \left ( 5 a + 2 \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \right )$
$4 a - \left ( 5 a + 2 \left ( \left ( \color{#FF6800}{ 1 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } + 3 \right ) \right )$
$ $ Organize the mononomial expression $ $
$4 a - \left ( 5 a + 2 \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } + 3 \right ) \right )$
$4 a - \left ( 5 a + \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \right )$
$ $ Organize the expression with the distributive law $ $
$4 a - \left ( 5 a \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } + \color{#FF6800}{ 6 } \right )$
$4 a - \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
$ $ Organize the similar terms $ $
$4 a - \left ( \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
$4 a - \left ( \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } + 6 \right )$
$ $ Arrange the constant term $ $
$4 a - \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } + 6 \right )$
$4 a \color{#FF6800}{ - } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$4 a \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 }$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ a } - 6$
$ $ Organize the mononomial expression $ $
$\color{#FF6800}{ a } - 6$
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