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Expand the expression
Answer
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$4a-6b- \{ 7a-3b- \left( 5a-4b \right) \}$
$2 a - 7 b$
Organize polynomials
$4 a - 6 b - \left ( 7 a - 3 b \color{#FF6800}{ - } \left ( \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right ) \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$4 a - 6 b - \left ( 7 a - 3 b \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } + \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right )$
$4 a - 6 b - \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ b } \right )$
$ $ Organize the similar terms $ $
$4 a - 6 b - \left ( \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ b } \right )$
$4 a - 6 b - \left ( \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ a } + \left ( - 3 + 4 \right ) b \right )$
$ $ Arrange the constant term $ $
$4 a - 6 b - \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } + \left ( - 3 + 4 \right ) b \right )$
$4 a - 6 b - \left ( 2 a + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ b } \right )$
$ $ Organize the mononomial expression $ $
$4 a - 6 b - \left ( 2 a + \color{#FF6800}{ b } \right )$
$4 a - 6 b \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right )$
$ $ Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses $ $
$4 a - 6 b \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ b }$
$\left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ a } + \left ( - 6 - 1 \right ) b$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 2 } \color{#FF6800}{ a } + \left ( - 6 - 1 \right ) b$
$2 a + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ b }$
$ $ Arrange the constant term $ $
$2 a \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ b }$
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