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Formula
Factorize the expression
Answer
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$a ^{ 2 } b ^{ 8 } -c ^{ 2 }$
$\left ( a b ^ { 4 } - c \right ) \left ( a b ^ { 4 } + c \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ - } \color{#FF6800}{ c } ^ { \color{#FF6800}{ 2 } }$
$ $ Factorize to use the polynomial formula of sum and difference $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ c } \right )$
$ $ Sort the factors $ $
$\left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ c } \right ) \left ( \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ c } \right )$
Solution search results
search-thumbnail-$b^{2}+c^{2}$ $b^{2}$ $c^{2}+a^{2}$ $a^{2}$ $Qc^{3}$ $b^{2}$ $=4a^{2}b^{2}c^{2}$ 
$1$ $C^{2}$ $C^{2}$ $a^{2}+b^{8}$
10th-13th grade
Other
search-thumbnail-$b$ $4$ $a$ $a$ $c^{2}$ $b^{8}$ 
$28>4$ Show that $c^{°}$ $2ac-b^{2}$ $a^{2}$ $2ab-c^{2^{|}}=\left(a^{3}+b^{3}+e^{3}-3abc\right)^{2}$ 
$c$ $a^{2}$ 
$a\bar{r} 01.12$ 
$Mar-01.12.N1ay$
10th-13th grade
Other
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