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Formula
Expand the expression
Answer
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Factorize the expression
Answer
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$6x ^{ 3 } +4x-2x ^{ 3 } +10x ^{ 2 } -9x ^{ 2 } -8x =$
$4 x ^ { 3 } + x ^ { 2 } - 4 x$
Organize polynomials
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x }$
$ $ Organize the similar terms $ $
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$\left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } + \left ( 4 - 8 \right ) x + \left ( 10 - 9 \right ) x ^ { 2 }$
$ $ Arrange the constant term $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } + \left ( 4 - 8 \right ) x + \left ( 10 - 9 \right ) x ^ { 2 }$
$4 x ^ { 3 } + \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \right ) \color{#FF6800}{ x } + \left ( 10 - 9 \right ) x ^ { 2 }$
$ $ Arrange the constant term $ $
$4 x ^ { 3 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } + \left ( 10 - 9 \right ) x ^ { 2 }$
$4 x ^ { 3 } - 4 x + \left ( \color{#FF6800}{ 10 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ Organize the mononomial expression $ $
$4 x ^ { 3 } - 4 x + \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x }$
$x \left ( 4 x ^ { 2 } + x - 4 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 6 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 10 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ x }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x }$
$\color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x }$
$ $ Bind the expressions with the common factor $ x$
$\color{#FF6800}{ x } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \right )$
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