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