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Expand the expression
Answer
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Factorize the expression
Answer
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$121+198x ^{ 6 } +81x ^{ 12 }$
$81 x ^ { 12 } + 198 x ^ { 6 } + 121$
Organize polynomials
$\color{#FF6800}{ 121 } \color{#FF6800}{ + } \color{#FF6800}{ 198 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 12 } }$
$ $ Sort the polynomial expressions in descending order $ $
$\color{#FF6800}{ 81 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ + } \color{#FF6800}{ 198 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 121 }$
$\left ( 9 x ^ { 6 } + 11 \right ) ^ { 2 }$
Arrange the expression in the form of factorization..
$\color{#FF6800}{ 121 } \color{#FF6800}{ + } \color{#FF6800}{ 198 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 81 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 12 } }$
$ $ Expand the expression $ $
$\color{#FF6800}{ 81 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ + } \color{#FF6800}{ 198 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 121 }$
$\color{#FF6800}{ 81 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 12 } } \color{#FF6800}{ + } \color{#FF6800}{ 198 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 121 }$
$ $ Use the factoring formula, $ a^{2} + 2ab + b^{2} = \left(a+b\right)^{2}$
$\left ( \color{#FF6800}{ 9 } \color{#FF6800}{ x } ^ { \color{#FF6800}{ 6 } } \color{#FF6800}{ + } \color{#FF6800}{ 11 } \right ) ^ { \color{#FF6800}{ 2 } }$
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