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Formula
Expand the expression
$\left( 3x ^{ 3 } -5x ^{ 2 } -6x+3 \right) - \left( 2x ^{ 3 } +4x-8 \right) =$
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + 11$
Organize polynomials
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \right ) \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
 Get rid of unnecessary parentheses 
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
$3 x ^ { 3 } - 5 x ^ { 2 } - 6 x + 3 \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right )$
 Change the symbol of each term in parentheses when there is a (-) symbol in front of parentheses 
$3 x ^ { 3 } - 5 x ^ { 2 } - 6 x + 3 \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \color{#FF6800}{ 8 }$
$\color{#FF6800}{ 3 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 8 }$
 Organize the similar terms 
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } - 5 x ^ { 2 } + \left ( - 6 - 4 \right ) x + \left ( 3 + 8 \right )$
 Organize the mononomial expression 
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } - 5 x ^ { 2 } + \left ( - 6 - 4 \right ) x + \left ( 3 + 8 \right )$
$x ^ { 3 } - 5 x ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right ) \color{#FF6800}{ x } + \left ( 3 + 8 \right )$
 Arrange the constant term 
$x ^ { 3 } - 5 x ^ { 2 } \color{#FF6800}{ - } \color{#FF6800}{ 10 } \color{#FF6800}{ x } + \left ( 3 + 8 \right )$
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ + } \color{#FF6800}{ 8 } \right )$
 Arrange the constant term 
$x ^ { 3 } - 5 x ^ { 2 } - 10 x + \color{#FF6800}{ 11 }$
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