qanda-logo
search-icon
Symbol
apple-logoApp Storegoogle-play-logoGoogle Play

Calculator search results

Expand the expression
Answer
circle-check-icon
Factorize the expression
Answer
circle-check-icon
expand-arrow-icon
expand-arrow-icon
Organize equations using specific formulas
Answer
circle-check-icon
expand-arrow-icon
$x ^ { 3 } + 3 x y z + y ^ { 3 } - z ^ { 3 }$
Organize polynomials
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ z }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } }$
$\left ( x + y - z \right ) \left ( x ^ { 2 } - x y + x z + y ^ { 2 } + y z + z ^ { 2 } \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ z }$
$ $ Arrange an equation using the transformation of the multiplication formula $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ z } \right )$
$\left ( x + y - z \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ z } \right )$
$ $ Organize the expression $ $
$\left ( x + y - z \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ + } \color{#FF6800}{ x } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 1 } { 2 } \left ( x + y - z \right ) \left ( \left ( x - y \right ) ^ { 2 } + \left ( y + z \right ) ^ { 2 } + \left ( z + x \right ) ^ { 2 } \right )$
Organize equations using specific formulas
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ z }$
$ $ Transform into the transformation format of the multiplication formula $ $
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$\color{#FF6800}{ x } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ z } ^ { \color{#FF6800}{ 3 } } \color{#FF6800}{ - } \color{#FF6800}{ 3 } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right )$
$ $ Factorize to use $ x^{3}+y^{3}+z^{3}-3xyz=(x+y+z)(x^{2}+y^{2}+z^{2}-xy-yx-zx)$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \right )$
$\left ( x + y - z \right ) \left ( \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ y } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ y } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \right )$
$ $ Organize equations using specific formulas $ $
$\left ( x + y - z \right ) \times \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \left ( \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \color{#FF6800}{ \times } \color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \left ( \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$ $ Organize the expression $ $
$\color{#FF6800}{ \dfrac { \color{#FF6800}{ 1 } } { \color{#FF6800}{ 2 } } } \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ y } \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \left ( \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ y } \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ y } \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \right ) \right ) ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$\dfrac { 1 } { 2 } \left ( x + y - z \right ) \left ( \left ( x - y \right ) ^ { 2 } + \left ( y \color{#FF6800}{ - } \left ( \color{#FF6800}{ - } z \right ) \right ) ^ { 2 } + \left ( - z - x \right ) ^ { 2 } \right )$
$ $ Simplify Minus $ $
$\dfrac { 1 } { 2 } \left ( x + y - z \right ) \left ( \left ( x - y \right ) ^ { 2 } + \left ( y + z \right ) ^ { 2 } + \left ( - z - x \right ) ^ { 2 } \right )$
$\dfrac { 1 } { 2 } \left ( x + y - z \right ) \left ( \left ( x - y \right ) ^ { 2 } + \left ( y + z \right ) ^ { 2 } + \left ( \color{#FF6800}{ - } \color{#FF6800}{ z } \color{#FF6800}{ - } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
$ $ If the inside of power is all negative numbers, change them to positive numbers $ $
$\dfrac { 1 } { 2 } \left ( x + y - z \right ) \left ( \left ( x - y \right ) ^ { 2 } + \left ( y + z \right ) ^ { 2 } + \left ( \color{#FF6800}{ z } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) ^ { \color{#FF6800}{ 2 } } \right )$
Solution search results
search-thumbnail-e. x^{3}+y^{3}+z^{3}+3xyz if x=1, y=0, z=-1
e. $x^{3}+y^{3}+z^{3}+3xyz$ if $x=1,$ $y=0,$ $z=-1$
1st-6th grade
Algebra
Check solutionright-arrow-icon
search-thumbnail-e. x^{3}+y^{3}+z^{3}+3xy2 if x=1, y=0, z=-1
e. $x^{3}+y^{3}+z^{3}+3xy2$ if $x=1,$ $y=0,$ $z=-1$
1st-6th grade
Algebra
Check solutionright-arrow-icon
search-thumbnail-(1) x^{3}-\dfrac{y^{3}}{8}+\dfrac{z^{3}}{27}+\dfrac{xyz}{2} . x^{3}+y^{3}-1+3xy
$1.$ $\left(1\right)$ $x^{3}-\dfrac {y^{3}} {8}+\dfrac {z^{3}} {27}+\dfrac {xyz} {2}$ $.$ $\left(i1\right)$ $x^{3}+y^{3}-1+3xy$
7th-9th grade
Other
Check solutionright-arrow-icon
search-thumbnail-(1) x^{3}-\dfrac{y^{3}}{8}+\dfrac{z^{3}}{27}+\dfrac{xyz}{2} . x^{3}+y^{3}-1+3xy
$1.$ $\left(1\right)$ $x^{3}-\dfrac {y^{3}} {8}+\dfrac {z^{3}} {27}+\dfrac {xyz} {2}$ $.$ $\left(i1\right)$ $x^{3}+y^{3}-1+3xy$
7th-9th grade
Other
Check solutionright-arrow-icon
search-thumbnail-Solve: (x+3)+ y
Solve: $\left(x+3\right)+$ y If x $2:y=5$
7th-9th grade
Algebra
Check solutionright-arrow-icon
Have you found the solution you wanted?
Try again
Try more features at Qanda!
check-iconSearch by problem image
check-iconAsk 1:1 question to TOP class teachers
check-iconAI recommend problems and video lecture
apple-logoApp Storegoogle-play-logoGoogle Play
© 2021 Mathpresso Inc.
|
CEO Jongheun Lee, Yongjae Lee
|
17th Floor, WeWork Seolleung Station III, 428, Seolleung-ro, Gangnam-gu, Seoul
|
EMAIL support.en@mathpresso.com