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Expand the expression
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Factorize the expression
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$\left( 3a+b-2c \right) \left( 9a ^{ 2 } +b ^{ 2 } +4c ^{ 2 } -3ab+2bc+6ca \right)$
$27 a ^ { 3 } + 18 a b c + b ^ { 3 } - 8 c ^ { 3 }$
Organize polynomials
$\left ( 3 a + b - 2 c \right ) \left ( 9 a ^ { 2 } + b ^ { 2 } + 4 c ^ { 2 } - 3 a b + 2 b c + \color{#FF6800}{ 6 } \color{#FF6800}{ c } \color{#FF6800}{ a } \right )$
$ $ Sort the order of variables in the mononomial expression $ $
$\left ( 3 a + b - 2 c \right ) \left ( 9 a ^ { 2 } + b ^ { 2 } + 4 c ^ { 2 } - 3 a b + 2 b c + \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ c } \right )$
$\left ( 3 a + b - 2 c \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ c } \right )$
$ $ Sort the polynomial expressions in descending order $ $
$\left ( 3 a + b - 2 c \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ 27 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 18 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 3 } }$
$\left ( 3 a + b - 2 c \right ) \left ( 9 a ^ { 2 } - 3 a b + 6 a c + b ^ { 2 } + 2 b c + 4 c ^ { 2 } \right )$
Arrange the expression in the form of factorization..
$\left ( 3 a + b - 2 c \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ c } \color{#FF6800}{ a } \right )$
$ $ Organize the expression $ $
$\left ( 3 a + b - 2 c \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \right )$
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