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Expand the expression
$\left( x-1 \right) \left( x+1 \right) \left( x ^{ 2 } +1 \right) \left( x ^{ 4 } +1 \right)$
$x ^ { 8 } - 1$
Organize polynomials
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( x ^ { 2 } + 1 \right ) \left ( x ^ { 4 } + 1 \right )$
 Organize the expression with the distributive law 
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( x ^ { 2 } + 1 \right ) \left ( x ^ { 4 } + 1 \right )$
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right ) \left ( x ^ { 4 } + 1 \right )$
 Organize the expression with the distributive law 
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( x ^ { 4 } + 1 \right )$
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ - } \color{#FF6800}{ 1 }$
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