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