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Expand the expression
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Factorize the expression
Answer
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$- 7 x + 10$
Organize polynomials
$3 \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) + 2 \left ( x - 1 \right )$
$ $ Sort the polynomial expressions in descending order $ $
$3 \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) + 2 \left ( x - 1 \right )$
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) + 2 \left ( x - 1 \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ x } + \color{#FF6800}{ 12 } + 2 \left ( x - 1 \right )$
$- 9 x + 12 + \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Organize the expression with the distributive law $ $
$- 9 x + 12 + \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } + \left ( 12 - 2 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } + \left ( 12 - 2 \right )$
$- 7 x + \left ( \color{#FF6800}{ 12 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right )$
$ $ Arrange the constant term $ $
$- 7 x + \color{#FF6800}{ 10 }$
$- \left ( 7 x - 10 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \right ) \color{#FF6800}{ + } \color{#FF6800}{ 2 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 10 }$
$ $ Bind the expressions with the common factor $ - 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \right )$
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