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$\left( x+ \dfrac{ 1 }{ x } \right) \left( x+ \dfrac{ 1 }{ x } \right) \left( x+ \dfrac{ 1 }{ x } \right)$
$\dfrac { x ^ { 6 } + 3 x ^ { 4 } + 3 x ^ { 2 } + 1 } { x ^ { 3 } }$
Arrange the rational expression
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) \left ( x + \dfrac { 1 } { x } \right ) \left ( x + \dfrac { 1 } { x } \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( x + \dfrac { 1 } { x } \right ) \left ( x + \dfrac { 1 } { x } \right )$
$\left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) \left ( x + \dfrac { 1 } { x } \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( x + \dfrac { 1 } { x } \right )$
$\left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right )$
$ $ If the exponent is omitted, the exponent of that term is equal to 1 $ $
$\left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( x + \dfrac { 1 } { x } \right ) ^ { 1 } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } }$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } }$
$ $ Add the exponent as the base is the same $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$\left ( x + \dfrac { 1 } { x } \right ) ^ { \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \color{#FF6800}{ + } \color{#FF6800}{ 1 } }$
$ $ Find the sum $ $
$\left ( x + \dfrac { 1 } { x } \right ) ^ { \color{#FF6800}{ 3 } }$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ \dfrac { 1 } { x } } \right ) ^ { \color{#FF6800}{ 3 } }$
$ $ Arrange the powers.. $ $
$\color{#FF6800}{ \dfrac { x ^ { 6 } + 3 x ^ { 4 } + 3 x ^ { 2 } + 1 } { x ^ { 3 } } }$
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