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Expand the expression
Answer
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Factorize the expression
Answer
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$\left( x-6 \right) \left( y-z \right) + \left( y+7 \right) \left( y-z \right)$
$x y - x z + y ^ { 2 } - y z + y - z$
Organize polynomials
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) + \left ( y + 7 \right ) \left ( y - z \right )$
$ $ Organize the expression with the distributive law $ $
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } + \color{#FF6800}{ 6 } \color{#FF6800}{ z } + \left ( y + 7 \right ) \left ( y - z \right )$
$x y - x z - 6 y + 6 z + \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$ $ Organize the expression with the distributive law $ $
$x y - x z - 6 y + 6 z + \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } + \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ z }$
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \color{#FF6800}{ z }$
$ $ Organize the similar terms $ $
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ y } \color{#FF6800}{ + } \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z }$
$x y - x z + \left ( \color{#FF6800}{ - } \color{#FF6800}{ 6 } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ y } + \left ( 6 - 7 \right ) z + y ^ { 2 } - y z$
$ $ Organize the mononomial expression $ $
$x y - x z + \color{#FF6800}{ y } + \left ( 6 - 7 \right ) z + y ^ { 2 } - y z$
$x y - x z + y + \left ( \color{#FF6800}{ 6 } \color{#FF6800}{ - } \color{#FF6800}{ 7 } \right ) \color{#FF6800}{ z } + y ^ { 2 } - y z$
$ $ Organize the mononomial expression $ $
$x y - x z + y \color{#FF6800}{ - } \color{#FF6800}{ z } + y ^ { 2 } - y z$
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z }$
$\left ( y - z \right ) \left ( x + y + 1 \right )$
Arrange the expression in the form of factorization..
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 6 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \color{#FF6800}{ + } \left ( \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 7 } \right ) \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$ $ Expand the expression $ $
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z }$
$\color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ 1 } \right )$
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