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Formula
Expand the expression
$$\left ( a - b \right ) \left ( b - c \right ) \left ( c - a \right )$$
$- a ^ { 2 } b + a ^ { 2 } c + a b ^ { 2 } - a c ^ { 2 } - b ^ { 2 } c + b c ^ { 2 }$
Organize polynomials
$\left ( a - b \right ) \left ( b - c \right ) \left ( \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ a } \right )$
 Sort the polynomial expressions in descending order 
$\left ( a - b \right ) \left ( b - c \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ c } \right ) \left ( - a + c \right )$
 Organize the expression with the distributive law 
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( - a + c \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
 Organize the expression with the distributive law 
$\color{#FF6800}{ - } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ a } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
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