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Expand the expression
Answer
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Factorize the expression
Answer
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$81-x ^{ 2 }$
$- x ^ { 2 } + 81$
Organize polynomials
$\color{#FF6800}{ 81 } \color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 }$
$- \left ( x - 9 \right ) \left ( x + 9 \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 81 } \color{#FF6800}{ - } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 2 } }$
$ $ Factorize to use the polynomial formula of sum and difference $ $
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right )$
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ + } \color{#FF6800}{ x } \right ) \left ( 9 - x \right )$
$ $ Organize the expression $ $
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \left ( 9 - x \right )$
$\left ( x + 9 \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ - } \color{#FF6800}{ x } \right )$
$ $ Expand the expression $ $
$\left ( x + 9 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right )$
$\left ( x + 9 \right ) \left ( \color{#FF6800}{ - } \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right )$
$ $ Bind the expressions with the common factor $ - 1$
$\left ( x + 9 \right ) \times \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) \right )$
$\left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right ) \color{#FF6800}{ \times } \left ( \color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) \right )$
$ $ Sort the factors $ $
$\color{#FF6800}{ - } \left ( \color{#FF6800}{ x } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) \left ( \color{#FF6800}{ x } \color{#FF6800}{ + } \color{#FF6800}{ 9 } \right )$
Solution search results
search-thumbnail-5. $\dfrac {1} {a-1}+\dfrac {1} {a+1}+\dfrac {2a} {a^{2}+1}+\dfrac {4a^{3}} {a^{4}+1}+$ $\dfrac {8a^{7}} {a^{8}+1}$ 

6. $\dfrac {x} {\left(y-x\right)\left(x-z\right)}$ $+\dfrac {y} {\left(z-y\right)\left(y-x\right)}$ $+-y\right)$ $\left(x-z\right)\left(z-$ * 
$y-z$ $z-x$ $x-y$ 
7. $x^{2}-\left(y-z\right)^{2}$ +. $-+$ $2$ $2$ $y$ $-\left(z-x\right)$ $z^{2}-\left(x-y\right)^{2}$ 
8. 
8. $\dfrac {1} {1+x}+\dfrac {1} {1-x}+\dfrac {2} {1+x^{2}}+\dfrac {4} {1-x^{4}}$ $\bar{1-x^{8}} $ 
9. $\left(\dfrac {x^{2}+y^{2}} {x^{2}-y^{2}}$ $-\dfrac {x^{2}-y^{2}} {x^{2}+y^{2}}\right)+\left(\dfrac {x+y} {x-y}-\dfrac {x-y} {x+y}\right)\times \left(\dfrac {x} {y}+\dfrac {y} {x}\right)$ 
$10.$ $y$ $\dfrac {x^{2}+y^{2}-z^{2}-2x} {x^{2}+y^{2}-z^{2}+2x}y$ $\div \dfrac {x-y+z} {x+y-z}\times \dfrac {x+y+z} {x-y-z}$
7th-9th grade
Algebra
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