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Formula
Expand the expression
Answer
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Factorize the expression
Answer
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$81a ^{ 4 } b ^{ 8 } -292a ^{ 2 } b ^{ 4 } x ^{ 8 } +256x ^{ 16 }$
$256 x ^ { 16 } - 292 a ^ { 2 } b ^ { 4 } x ^ { 8 } + 81 a ^ { 4 } b ^ { 8 }$
Organize polynomials
$\color{#FF6800}{ 81 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ - } \color{#FF6800}{ 292 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ + } \color{#FF6800}{ 256 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 16 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 256 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 16 } } \color{#FF6800}{ - } \color{#FF6800}{ 292 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } }$
$\left ( 9 a ^ { 2 } b ^ { 4 } - 2 a b ^ { 2 } x ^ { 4 } - 16 x ^ { 8 } \right ) \left ( 9 a ^ { 2 } b ^ { 4 } + 2 a b ^ { 2 } x ^ { 4 } - 16 x ^ { 8 } \right )$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 81 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ - } \color{#FF6800}{ 292 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ + } \color{#FF6800}{ 256 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 16 } }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 256 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 16 } } \color{#FF6800}{ - } \color{#FF6800}{ 292 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } }$
$\color{#FF6800}{ 256 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 16 } } \color{#FF6800}{ - } \color{#FF6800}{ 292 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 8 } }$
$ $ Do factorization $ $
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \right ) \left ( \color{#FF6800}{ 9 } \color{#FF6800}{ a } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ + } \color{#FF6800}{ 2 } \color{#FF6800}{ a } \color{#FF6800}{ b } ^ { \color{#FF6800}{ 2 } } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 4 } } \color{#FF6800}{ - } \color{#FF6800}{ 16 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 8 } } \right )$
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