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Formula
Expand the expression
Answer
Factorize the expression
Answer
$\left( x ^{ 2 } -y ^{ 2 } \right) \left( x ^{ 4 } +x ^{ 2 } y ^{ 2 } +y ^{ 4 } \right)$
$x ^ { 6 } - y ^ { 6 }$
Organize polynomials
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 6 } }$
$\left ( x - y \right ) \left ( x + y \right ) \left ( x ^ { 2 } - x y + y ^ { 2 } \right ) \left ( x ^ { 2 } + x y + y ^ { 2 } \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \left ( x ^ { 4 } + x ^ { 2 } y ^ { 2 } + y ^ { 4 } \right )$
 Factorize to use the polynomial formula of sum and difference 
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( x ^ { 4 } + x ^ { 2 } y ^ { 2 } + y ^ { 4 } \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( x ^ { 4 } + x ^ { 2 } y ^ { 2 } + y ^ { 4 } \right )$
 Sort the factors 
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) \left ( x ^ { 4 } + x ^ { 2 } y ^ { 2 } + y ^ { 4 } \right )$
$\left ( x - y \right ) \left ( x + y \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 4 } } \right )$
 Do factorization 
$\left ( x - y \right ) \left ( x + y \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
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