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