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Formula
Expand the expression
Factorize the expression
$a ^{ 2 } -2a ^{ 3 } +3a ^{ 4 } -4a ^{ 5 } +6a ^{ 6 }$
$6 a ^ { 6 } - 4 a ^ { 5 } + 3 a ^ { 4 } - 2 a ^ { 3 } + a ^ { 2 }$
Organize polynomials
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } }$
 Sort the polynomial expressions in descending order 
$\color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$a ^ { 2 } \left ( 6 a ^ { 4 } - 4 a ^ { 3 } + 3 a ^ { 2 } - 2 a + 1 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } }$
 Expand the expression 
$\color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 5 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } }$
 Bind the expressions with the common factor $a ^ { 2 }$
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
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