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Expand the expression
Answer
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Factorize the expression
Answer
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$a \left( a-2 \right) \left( a+4 \right) \left( a-6 \right)$
$a ^ { 4 } - 4 a ^ { 3 } - 20 a ^ { 2 } + 48 a$
Organize polynomials
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( a + 4 \right ) \left ( a - 6 \right )$
$ $ Organize the expression with the distributive law $ $
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \left ( a + 4 \right ) \left ( a - 6 \right )$
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \left ( a - 6 \right )$
$ $ Organize the expression with the distributive law $ $
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ a } \right ) \left ( a - 6 \right )$
$\left ( \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 8 } \color{#FF6800}{ a } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 20 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 48 } \color{#FF6800}{ a }$
$a \left ( a - 6 \right ) \left ( a - 2 \right ) \left ( a + 4 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ a } \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \right )$
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