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Formula
Expand the expression
Factorize the expression
$\left( x-y \right) ^{ 3 } +3xy \left( x-y \right)$
$x ^ { 3 } - y ^ { 3 }$
Organize polynomials
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 3 } } + 3 x y \left ( x - y \right )$
 Expand an equation 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } + \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } + 3 x y \left ( x - y \right )$
$x ^ { 3 } - 3 x ^ { 2 } y + 3 x y ^ { 2 } - y ^ { 3 } + \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
 Organize the expression with the distributive law 
$x ^ { 3 } - 3 x ^ { 2 } y + 3 x y ^ { 2 } - y ^ { 3 } + \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
 Organize the similar terms 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } }$
$x ^ { 3 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ y } + \left ( 3 - 3 \right ) x y ^ { 2 } - y ^ { 3 }$
 Organize the mononomial expression 
$x ^ { 3 } + \color{#FF6800}{ 0 } + \left ( 3 - 3 \right ) x y ^ { 2 } - y ^ { 3 }$
$x ^ { 3 } + 0 + \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } - y ^ { 3 }$
 Organize the mononomial expression 
$x ^ { 3 } + 0 + \color{#FF6800}{ 0 } - y ^ { 3 }$
$x ^ { 3 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } \color{#FF6800}{ + } \color{#FF6800}{ 0 } - y ^ { 3 }$
 0 does not change when you add or subtract 
$x ^ { 3 } - y ^ { 3 }$
$\left ( x - y \right ) \left ( x ^ { 2 } + x y + y ^ { 2 } \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
 Expand the expression 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } }$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } }$
 Use the factoring formula, $a^{3}-b^{3} = \left(a-b\right)\left(a^{2} + ab + b^{2}\right)$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \right )$
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