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Expand the expression
Answer
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Factorize the expression
Answer
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$\left( a+b \right) \left( b+c \right) \left( c+a \right)$
$a ^ { 2 } b + a ^ { 2 } c + a b ^ { 2 } + 2 a b c + a c ^ { 2 } + b ^ { 2 } c + b c ^ { 2 }$
Organize polynomials
$\left ( a + b \right ) \left ( b + c \right ) \left ( \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ a } \right )$
$ $ Sort the polynomial expressions in descending order $ $
$\left ( a + b \right ) \left ( b + c \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ c } \right ) \left ( a + c \right )$
$ $ Organize the expression with the distributive law $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( a + c \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ b } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ a } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ b } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$\left ( a + b \right ) \left ( a + c \right ) \left ( b + c \right )$
Arrange the expression in the form of factorization..
$\left ( a + b \right ) \left ( b + c \right ) \left ( \color{#FF6800}{ c } \color{#FF6800}{ + } \color{#FF6800}{ a } \right )$
$ $ Organize the expression $ $
$\left ( a + b \right ) \left ( b + c \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ b } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ + } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ b } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
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