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Expand the expression
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Factorize the expression
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$9 x ^ { 2 } + 6 x y - 12 x z + y ^ { 2 } - 4 y z + 4 z ^ { 2 }$
Organize polynomials
$9 x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } + 6 x y - 4 y z \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ z } \color{#FF6800}{ x }$
$ $ Sort the order of variables in the mononomial expression $ $
$9 x ^ { 2 } + y ^ { 2 } + 4 z ^ { 2 } + 6 x y - 4 y z \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } \color{#FF6800}{ z }$
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } \color{#FF6800}{ z }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } }$
$\left ( 3 x + y - 2 z \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 4 } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 6 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ 4 } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ 12 } \color{#FF6800}{ z } \color{#FF6800}{ x }$
$ $ Organize equations using specific formulas $ $
$\left ( \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \right ) \right ) ^ { \color{#FF6800}{ 2 } }$
$\left ( 3 x + y \color{#FF6800}{ - } \left ( \color{#FF6800}{ 2 } \color{#FF6800}{ z } \right ) \right ) ^ { 2 }$
$ $ Get rid of unnecessary parentheses $ $
$\left ( 3 x + y \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ z } \right ) ^ { 2 }$
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