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Expand the expression
Answer
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$\left( ax+2 \right) ^{ 3 } + \left( x-1 \right) ^{ 2 }$
$a ^ { 3 } x ^ { 3 } + \left ( 6 a ^ { 2 } + 1 \right ) x ^ { 2 } + \left ( 12 a - 2 \right ) x + 9$
Organize polynomials
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \right ) ^ { \color{#FF6800}{ 3 } } + \left ( x - 1 \right ) ^ { 2 }$
$ $ Expand an equation $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } + \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } + \color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ x } + \color{#FF6800}{ 8 } + \left ( x - 1 \right ) ^ { 2 }$
$a ^ { 3 } x ^ { 3 } + 6 a ^ { 2 } x ^ { 2 } + 12 a x + 8 + \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) ^ { \color{#FF6800}{ 2 } }$
$ $ Expand the binomial expression $ $
$a ^ { 3 } x ^ { 3 } + 6 a ^ { 2 } x ^ { 2 } + 12 a x + 8 + \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } + \color{#FF6800}{ 1 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 }$
$ $ Organize the similar terms $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 12 } \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$a ^ { 3 } x ^ { 3 } + \left ( 6 a ^ { 2 } + 1 \right ) x ^ { 2 } + \left ( 12 a - 2 \right ) x + \left ( \color{#FF6800}{ 8 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
$ $ Arrange the constant term $ $
$a ^ { 3 } x ^ { 3 } + \left ( 6 a ^ { 2 } + 1 \right ) x ^ { 2 } + \left ( 12 a - 2 \right ) x + \color{#FF6800}{ 9 }$
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