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Expand the expression
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$3 x ^ { 2 } + 34 x - 67$
Organize polynomials
$\left ( \color{#FF6800}{ 5 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) - 3 \left ( 2 x - 5 \right ) ^ { 2 }$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 15 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 26 } \color{#FF6800}{ x } + \color{#FF6800}{ 8 } - 3 \left ( 2 x - 5 \right ) ^ { 2 }$
$15 x ^ { 2 } - 26 x + 8 - 3 \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Expand the binomial expression $ $
$15 x ^ { 2 } - 26 x + 8 - 3 \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 20 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 25 } \right )$
$15 x ^ { 2 } - 26 x + 8 \color{#FF6800}{ - } \color{#FF6800}{ 3 } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 20 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 25 } \right )$
$ $ Organize the expression with the distributive law $ $
$15 x ^ { 2 } - 26 x + 8 \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 60 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 75 }$
$\color{#FF6800}{ 15 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 26 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 60 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 75 }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 26 } \color{#FF6800}{ + } \color{#FF6800}{ 60 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 75 } \right )$
$\left ( \color{#FF6800}{ 15 } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 26 + 60 \right ) x + \left ( 8 - 75 \right )$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \left ( - 26 + 60 \right ) x + \left ( 8 - 75 \right )$
$3 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 26 } \color{#FF6800}{ + } \color{#FF6800}{ 60 } \right ) \color{#FF6800}{ x } + \left ( 8 - 75 \right )$
$ $ Arrange the constant term $ $
$3 x ^ { 2 } + \color{#FF6800}{ 34 } \color{#FF6800}{ x } + \left ( 8 - 75 \right )$
$3 x ^ { 2 } + 34 x + \left ( \color{#FF6800}{ 8 } \color{#FF6800}{ - } \color{#FF6800}{ 75 } \right )$
$ $ Arrange the constant term $ $
$3 x ^ { 2 } + 34 x \color{#FF6800}{ - } \color{#FF6800}{ 67 }$
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