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Formula
Expand the expression
Answer
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Factorize the expression
Answer
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$x ^{ 2 } -2xz+z ^{ 2 } -y ^{ 2 }$
$x ^ { 2 } - 2 x z - y ^ { 2 } + z ^ { 2 }$
Organize polynomials
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } }$
$\left ( x - y - z \right ) \left ( x + y - z \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } }$
$ $ Factorize to use perfect square expression, and the sum and difference formula $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } \right ) \left ( x - z - y \right )$
$ $ Organize the expression $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( x - z - y \right )$
$\left ( x + y - z \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ y } \right )$
$ $ Organize the expression $ $
$\left ( x + y - z \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
Solution search results
search-thumbnail-$y+\dfrac {2} {x+z}=4$ 
$5y+\dfrac {18} {2x+y+z}=18$ 
$\dfrac {8} {x+z}$ $-\dfrac {6} {2x+y+z}$ $-$ $-$ $-$ $=3$ 
Nilai dari $y+\sqrt{x^{2}-2xz+z^{2}} $ adalah ....
10th-13th grade
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