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Expand the expression
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Factorize the expression
Answer
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$\left( \left( 3x-2 \right) -5x \right) + \left( 7-4x ^{ 2 } \right)$
$- 4 x ^ { 2 } - 2 x + 5$
Organize polynomials
$\left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$ $ Organize the similar terms $ $
$\left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$\left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right ) \color{#FF6800}{ x } - 2 \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$ $ Arrange the constant term $ $
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } - 2 \right ) + \left ( 7 - 4 x ^ { 2 } \right )$
$\left ( - 2 x - 2 \right ) + \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Sort the polynomial expressions in descending order $ $
$\left ( - 2 x - 2 \right ) + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$\left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right )$
$ $ Get rid of unnecessary parentheses $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 7 }$
$ $ Organize the similar terms $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$- 2 x + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) - 4 x ^ { 2 }$
$ $ Arrange the constant term $ $
$- 2 x + \color{#FF6800}{ 5 } - 4 x ^ { 2 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$- \left ( 4 x ^ { 2 } + 2 x - 5 \right )$
Arrange the expression in the form of factorization..
$\left ( \left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \color{#FF6800}{ - } \color{#FF6800}{ 5 } \color{#FF6800}{ x } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ 7 } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$\color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 5 }$
$ $ Bind the expressions with the common factor $ - 1$
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ 4 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 5 } \right )$
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